Solve

Problem 25701

Solve the equations: A. 5t=30-5 t=30, B. 2x=142 x=14, C. x7=4\frac{x}{7}=-4, D. 35p=12\frac{3}{5} p=12.

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Problem 25702

Solve for bb in the equation: b3.12=5.23b - 3.12 = 5.23.

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Problem 25703

Solve the equation for x: 2x=142 x = 14.

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Problem 25704

Solve for tt in the equation 5t=30-5t = 30.

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Problem 25705

Solve for pp in the equation 35p=12\frac{3}{5} p=12.

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Problem 25706

Solve for ss in the equation s5=10\frac{s}{5}=10.

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Problem 25707

Find the number such that 30x=6 \frac{30}{x} = 6 .

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Problem 25708

Find the number cc such that 9c=279c = 27.

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Problem 25709

Solve for jj in the equation j+26=1\frac{j+2}{6}=1.

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Problem 25710

Solve for n in the equation: 2n+838=32\frac{2 n+8}{3}-8=32.

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Problem 25711

Solve the equation: 4(r2)+6r=36-4(r-2)+6r=36.

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Problem 25712

Solve the equation: 3p+72p+5=13p + 7 - 2p + 5 = -1

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Problem 25713

Find three consecutive integers whose sum is 132. What are the integers?

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Problem 25714

Solve for xx in the equation 23x+6=26\frac{2}{3} x + 6 = 26.

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Problem 25715

Find the complete set of solutions for 3x3+9x254x=03 x^{3}+9 x^{2}-54 x=0: 0,3,60,3,-6, 00, no solutions, or 0,3,60,-3,6.

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Problem 25716

Factor the polynomial 50x532x=050 x^{5}-32 x=0 and find the solutions for xx.

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Problem 25717

Calculate the area between the curves y=x3xy=x^{3}-x and y=3xy=3x. Area = ?

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Problem 25718

A rocket starts from rest with mass m0m_0 and burns fuel at rate kk. Find v(t)v(t) from mdvdt=ckmgm \frac{d v}{d t}=c k-m g.
(a) v(t)=θm/secv(t)=\quad \theta_{-} \mathrm{m} / \mathrm{sec}
(b) If fuel is 80% of m0m_0 and lasts 110 s, find v(110)v(110) with g=9.8 m/s2g=9.8 \mathrm{~m/s}^2 and c=2500 m/sc=2500 \mathrm{~m/s}. Round to nearest whole number.

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Problem 25719

Solve for xx: (x+2)7/5=128(x+2)^{7/5} = 128. What is xx?

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Problem 25720

Evaluate 161/416^{-1 / 4} without a calculator. Provide an integer, simplified fraction, or DNE if not real.

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Problem 25721

Solve t+3=t+9\sqrt{t}+3=\sqrt{t+9}. Find tt as an integer or simplified fraction A/B.

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Problem 25722

Solve for kk in the equation: k216=6k396kk^{2}-16=6 k^{3}-96 k. Provide integer or simplified fraction solutions, separated by commas.

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Problem 25723

Solve for x in the equation: 899x+6=73-8-9|9x+6|=73.

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Problem 25724

Solve by factoring: 5x310x275x=05 x^{3}-10 x^{2}-75 x=0. Find all real solutions: x=x=.

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Problem 25725

Solve for xx: 357x6=73 - 5|7x - 6| = -7. If there are two solutions, list them as a,ba, b.

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Problem 25726

Solve for kk in the equation: k216=6k396kk^{2}-16=6 k^{3}-96 k. What are the real solutions?
k= k=

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Problem 25727

A climber starts at 12,740ft12,740 \mathrm{ft}, descends 200ft200 \mathrm{ft}. What is their new elevation above sea level?

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Problem 25728

Solve loga(5x+14a)+1=2logaxlogx1\log _{a}(5 x+14 a)+1=2 \log _{a} x-\log _{x} 1 for xx in terms of aa.

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Problem 25729

How many mL of a 2%w/v2\% \mathrm{w}/\mathrm{v} ammonium chloride solution is needed for 75mEq75 \mathrm{mEq}?

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Problem 25730

Find the cost difference between 1 tube of glue (2.39)and1rolloftape(2.39) and 1 roll of tape (1.99). Then, calculate the total for 2 packs of markers (4.50)and1packofconstructionpaper(4.50) and 1 pack of construction paper (3.79).

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Problem 25731

A cement path has 6 squares with a total area of 96 sq ft. What is the length of the path in feet?

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Problem 25732

Desha has 196 pepper plants. How many should she plant in each row if arranged in a square? Answer: 196\sqrt{196}.

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Problem 25733

Solve the inequality (x3)(x4)(x5)0(x-3)(x-4)(x-5) \leq 0 and list intervals with their signs in interval notation.

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Problem 25734

Solve the inequality (x5)(x6)(x7)0(x-5)(x-6)(x-7) \geq 0 and list intervals with signs in each interval using interval notation.

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Problem 25735

Solve the inequality (x6)(x7)(x8)0(x-6)(x-7)(x-8) \geq 0 and list intervals with signs in interval notation.

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Problem 25736

Solve the inequality: (x4)(x5)(x6)0(x-4)(x-5)(x-6) \geq 0. Provide the solution in interval notation.

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Problem 25737

Solve the inequality (x1)(x2)(x3)0(x-1)(x-2)(x-3) \geq 0 and list intervals with signs in each. Use interval notation.

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Problem 25738

Solve the inequality: (x4)(x5)(x7)0(x-4)(x-5)(x-7) \leq 0. Provide the solution in interval notation.

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Problem 25739

Solve the inequality: (x3)(x4)(x5)0(x-3)(x-4)(x-5) \geq 0. List intervals and signs in each interval using interval notation.

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Problem 25740

Tisha's trapezoidal rack has bases 24 in and 38 in. Find the length of the brace joining the midpoints of the sides. A. 26 B. 28 C. 31 D. 32 E. 33.5

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Problem 25741

Solve the inequality (x6)(x7)(x8)0(x-6)(x-7)(x-8) \geq 0 and list intervals with signs in interval notation.

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Problem 25742

Chris paints 16\frac{1}{6} of a fence/hour, Sandy 18\frac{1}{8}. How much will they paint in 2 hours together?

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Problem 25743

Find the middle number of three consecutive integers with a sum of 3n3n. If none exists, write \varnothing.

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Problem 25744

What is the maximum percent correct Tomás can earn if he answered 24 right and 3 wrong on a 30-question test?

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Problem 25745

Compute 88798 \cdot 8 - 7 \cdot 9.

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Problem 25746

The cost of 2 notebooks and pencils is \$ 7.00; 3 notebooks and 2 pencils is \$ 11.00. Find 1 notebook and 1 pencil's cost.

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Problem 25747

Find an expression for yy in terms of xx from the equation 2x+3y=72 x + 3 y = 7. Options are given.

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Problem 25748

Find the result of 12÷2+412 \div 2 + 4.

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Problem 25749

A jet plane travels at 840 mph. How far does it go in 30 seconds? A. 7 B. 16 C. 28 D. 32 E. 60.

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Problem 25750

A square has sides of length 48 m48 \mathrm{~m}. A rectangle with an area equal to the square has a width of 12 m12 \mathrm{~m}. Find the rectangle's length.

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Problem 25751

A keyboard has a perimeter of 14ft14 \mathrm{ft}, with width 3ft3 \mathrm{ft} more than depth. Find width, depth, and area.

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Problem 25752

Find the time in seconds between consecutive simultaneous flashes of two neon signs that flash every 6 and 8 seconds.

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Problem 25753

Find the time between simultaneous flashes of two neon signs that flash every 6 and 8 seconds.

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Problem 25754

In a 145-member choir with 37 more altos than sopranos, find the ratio of altos to sopranos.

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Problem 25755

Hoshi has a square yard section (20 ft each side) with a circular pond inside. Find the area outside the pond. A. 86 B. 126 C. 314 D. 337 E. 714

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Problem 25756

Solve the inequality: (x2)(x5)(x6)0(x-2)(x-5)(x-6) \leq 0. Provide your answer in interval notation.

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Problem 25757

A gas tank is 38\frac{3}{8} full. After adding 6 gallons, it's 34\frac{3}{4} full. Cost to fill it 34\frac{3}{4} full?

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Problem 25758

Solve the inequality: (x3)(x4)(x7)0(x-3)(x-4)(x-7) \leq 0. Provide the solution in interval notation.

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Problem 25759

Find the maximum volume of chocolate in a candy mold of dimensions 4 cm×3 cm×2 cm4 \mathrm{~cm} \times 3 \mathrm{~cm} \times 2 \mathrm{~cm}, given the almond volume is 2 cm³.

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Problem 25760

Solve for gg and hh in the equation g(yh+b)=e+qg(y h+b)=e+q. Find g=g= and h=h=.

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Problem 25761

Find g(f(5x))g(f(5 x)) for f(x)=2x1f(x)=2 x-1 and g(x)=3x27g(x)=3 x^{2}-7. Choose from: A, B, C, D.

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Problem 25762

Find g(f(5x))g(f(5 x)) for f(x)=2x1f(x)=2 x-1 and g(x)=3x27g(x)=3 x^{2}-7. Choices: A. 150x215150 x^{2}-15 B. 300x260x4300 x^{2}-60 x-4 C. 60x360x220x60 x^{3}-60 x^{2}-20 x D. 750x375x270x+7750 x^{3}-75 x^{2}-70 x+7 E. 30x415x370x2+35x30 x^{4}-15 x^{3}-70 x^{2}+35 x

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Problem 25763

Solve for yy: x2+y7=1\frac{x}{2} + \frac{y}{7} = 1. What is yy?

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Problem 25764

Solve the equation n(jk+w)=z+an(j k+w)=z+a for nn and kk. Find n=n= and k=k=.

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Problem 25765

Find the probability that independent events KK and JJ occur, given P(K)=0.40P(K)=0.40 and P(J)=0.20P(J)=0.20.

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Problem 25766

Five points P,Q,R,S,TP, Q, R, S, T are in order. Given lengths, find the length of PT\overline{P T}. Options: A. 18 B. 21 C. 24 D. 27 E. 30

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Problem 25767

A bookcase has 4 shelves. The width is 3h83h - 8. Find width and height if lumber used is 2424 feet.

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Problem 25768

A bank loaned \$33,000 at 15% and 14% interest, earning \$4,805 total. Find the amount loaned at each rate.

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Problem 25769

Find the area of a triangle with sides 5 mm, 5 mm, and 6 mm. Options: A. 6 B. 12 C. 15 D. 25 E. 30

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Problem 25770

Find xx in the equation log354log32=log2x\log _{3} 54 - \log _{3} 2 = \log _{2} x. Options: F. 3, G. 8, H. 9, J. 52, K. 108.

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Problem 25771

Solve the inequality x3x290x>0x^{3}-x^{2}-90 x>0 and express the solution in interval notation.

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Problem 25772

Find the positive value of kk so that 9x2+kx+259x^{2}+kx+25 factors as (ax+b)2(ax+b)^{2}. Choices: 30, 16, 15, 8, 2.

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Problem 25773

Find the length of the 3rd side of a triangle with sides 100 ft, 80 ft, and angle 6060^{\circ} using the law of cosines.

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Problem 25774

If aa and bb satisfy asin2θ+acos2θ=ba \sin^2 \theta + a \cos^2 \theta = b, find ba\frac{b}{a}. F. -1 G. 0 H. 12\frac{1}{2} J. 1 K. 2

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Problem 25775

Solve for yy in the equation y+9=18(x+8)y+9=\frac{1}{8}(x+8).

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Problem 25776

Solve the inequality x+7x2<0\frac{x+7}{x-2}<0 and express the solution in interval notation.

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Problem 25777

Solve the inequality: x+2x7>0\frac{x+2}{x-7}>0. Provide the answer in interval notation.

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Problem 25778

Solve the inequality x+2x7>0\frac{x+2}{x-7}>0 and express the solution in interval notation.

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Problem 25779

Solve the inequality (x6)(x+6)x0\frac{(x-6)(x+6)}{x} \leq 0 and list intervals with their signs in interval notation.

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Problem 25780

Solve the inequality: (x6)(x+6)x0\frac{(x-6)(x+6)}{x} \leq 0. List intervals and signs for each interval in ascending order.

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Problem 25781

Solve the inequality: (x2)(x+2)x0\frac{(x-2)(x+2)}{x} \leq 0. List intervals and signs in each interval in ascending order.

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Problem 25782

Solve the inequality: (x7)(x+9)x0\frac{(x-7)(x+9)}{x} \leq 0. Provide your answer in interval notation.

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Problem 25783

Evaluate f(x)=x25f(x)=-x^{2}-5 for f(2)f(2) and f(1)f(-1). Find f(2)=f(2)=\square and f(1)=f(-1)=\square.

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Problem 25784

Calculate the average density of a star with mass 5×1036 kg5 \times 10^{36} \mathrm{~kg} and radius 7.2×105 km7.2 \times 10^{5} \mathrm{~km} in g/cm³.

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Problem 25785

Solve the inequality: (x6)2x2160\frac{(x-6)^{2}}{x^{2}-16} \geq 0. List intervals and signs in each interval using interval notation.

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Problem 25786

Find the mass of 125 mL125 \mathrm{~mL} of bromine (Br2\mathrm{Br}_{2}) with a density of 3.12 g/cm33.12 \mathrm{~g/cm}^{3}. Also, what volume does 100 g100 \mathrm{~g} of bromine occupy?

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Problem 25787

Find the number of elements in the union of sets A and B, given |A| = 5, |B| = 17, and |A ∩ B| = 5.

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Problem 25788

Find the minimum value of 9x119x - 11 given that x193x \geq \frac{19}{3}.

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Problem 25789

Calculate the mass of 125 mL of liquid bromine (Br2\mathrm{Br}_{2}) with a density of 3.12 g/cm33.12 \mathrm{~g/cm}^{3}.

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Problem 25790

What is the new water level in mL after adding 7.25 g of silver to 11.8 mL of water? Use the density of silver: 10.5 g/cm310.5 \mathrm{~g} / \mathrm{cm}^{3}.

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Problem 25791

Solve the inequality: 6>23y-6 > -\frac{2}{3} y. Then, graph the solution.

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Problem 25792

Diego's cab fare is \$21.00 with a \$2.25 pickup fee and \$1.25 per mile. How far did he travel?

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Problem 25793

Find the length and width of a field with a perimeter of 92 m, where length is 16 m16 \mathrm{~m} more than width.

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Problem 25794

Graph the system: x4y=4x - 4y = 4 and 4x+4y=164x + 4y = 16. Find the solution set or state if none exists.

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Problem 25795

Graph the system of equations: x4y=4x - 4y = 4 and 4x+4y=164x + 4y = 16. Use a graphing tool to find the solution.

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Problem 25796

Graph the system: x4y=4x - 4y = 4 and 4x+4y=164x + 4y = 16. Identify the solution set: A. ordered pair, B. equation, C. \varnothing.

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Problem 25797

Evaluate the expressions with a=4a=4 and b=2b=2:
1. 2a+3b=2a + 3b =
2. a2b+10=a^2 - b + 10 =
3. (ab)2(a+b)2=(ab)^2 - (a + b)^2 =

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Problem 25798

Solve the equations using substitution: x2y=1x - 2y = 1 and 4x9y=24x - 9y = 2. Choose A, B, or C for the solution set.

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Problem 25799

Solve the system using the addition method:
1. x+3y=1x + 3y = 1
2. 5x+2y=29-5x + 2y = 29

Choose A, B, or C for the solution set.

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Problem 25800

Solve the system: 3x + 2y = 1 and 9x + 6y = 3. Choose A, B, or C for the solution type.

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