Math / Algebra

QuestionSolve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

Studdy Solution

STEP 1

1. The equation $5x - 6 = 29$ is a linear equation in one variable.
2. We need to solve for $x$ by isolating it on one side of the equation.
3. The possible solutions provided are $x = 3$ , $x = 5$ , $x = 7$ , and $x = 9$ .

STEP 2

1. Isolate the variable $x$ by performing algebraic operations.
2. Verify the solution by substituting it back into the original equation.
3. Compare the solution with the given options.

STEP 3

To isolate $x$ , first add 6 to both sides of the equation to eliminate the constant term on the left side:
$5x - 6 + 6 = 29 + 6$
This simplifies to:
$5x = 35$

STEP 4

Next, divide both sides by 5 to solve for $x$ :
$\frac{5x}{5} = \frac{35}{5}$
This simplifies to:
$x = 7$

STEP 5

Verify the solution by substituting $x = 7$ back into the original equation:
$5(7) - 6 = 29$
Calculate the left-hand side:
$35 - 6 = 29$
Since both sides are equal, the solution is verified.

STEP 6

Compare the solution $x = 7$ with the given options: $x = 3$ , $x = 5$ , $x = 7$ , $x = 9$ .
The correct solution is:
$\boxed{7}$

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QuestionSolve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

Studdy Solution

STEP 1

1. The equation $5x - 6 = 29$ is a linear equation in one variable.
2. We need to solve for $x$ by isolating it on one side of the equation.
3. The possible solutions provided are $x = 3$ , $x = 5$ , $x = 7$ , and $x = 9$ .

STEP 2

1. Isolate the variable $x$ by performing algebraic operations.
2. Verify the solution by substituting it back into the original equation.
3. Compare the solution with the given options.

STEP 3

To isolate $x$ , first add 6 to both sides of the equation to eliminate the constant term on the left side:
$5x - 6 + 6 = 29 + 6$
This simplifies to:
$5x = 35$

STEP 4

Next, divide both sides by 5 to solve for $x$ :
$\frac{5x}{5} = \frac{35}{5}$
This simplifies to:
$x = 7$

STEP 5

Verify the solution by substituting $x = 7$ back into the original equation:
$5(7) - 6 = 29$
Calculate the left-hand side:
$35 - 6 = 29$
Since both sides are equal, the solution is verified.

STEP 6

Compare the solution $x = 7$ with the given options: $x = 3$ , $x = 5$ , $x = 7$ , $x = 9$ .
The correct solution is:
$\boxed{7}$

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QuestionSolve the equation. * 5x−6=295 x-6=295x−6=29 x=3x=3x=3 x=5x=5x=5 x=7x=7x=7 x=9x=9x=9

Studdy Solution

STEP 1

1. The equation 5x−6=29 5x - 6 = 29 5x−6=29 is a linear equation in one variable.2. We need to solve for x x x by isolating it on one side of the equation.3. The possible solutions provided are x=3 x = 3 x=3, x=5 x = 5 x=5, x=7 x = 7 x=7, and x=9 x = 9 x=9.

STEP 2

1. Isolate the variable x x x by performing algebraic operations.2. Verify the solution by substituting it back into the original equation.3. Compare the solution with the given options.

STEP 3

To isolate x x x, first add 6 to both sides of the equation to eliminate the constant term on the left side:5x−6+6=29+6 5x - 6 + 6 = 29 + 6 5x−6+6=29+6This simplifies to:5x=35 5x = 35 5x=35

STEP 4

Next, divide both sides by 5 to solve for x x x:5x5=355 \frac{5x}{5} = \frac{35}{5} 55x​=535​This simplifies to:x=7 x = 7 x=7

STEP 5

Verify the solution by substituting x=7 x = 7 x=7 back into the original equation:5(7)−6=29 5(7) - 6 = 29 5(7)−6=29Calculate the left-hand side:35−6=29 35 - 6 = 29 35−6=29Since both sides are equal, the solution is verified.

STEP 6

Compare the solution x=7 x = 7 x=7 with the given options: x=3 x = 3 x=3, x=5 x = 5 x=5, x=7 x = 7 x=7, x=9 x = 9 x=9.The correct solution is:7 \boxed{7} 7​

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Studdy solves anything!

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionSolve the equation. * $5 x-6=29$ $x=3$ $x=5$ $x=7$ $x=9$

1. The equation $5x - 6 = 29$ is a linear equation in one variable.
2. We need to solve for $x$ by isolating it on one side of the equation.
3. The possible solutions provided are $x = 3$ , $x = 5$ , $x = 7$ , and $x = 9$ .

1. Isolate the variable $x$ by performing algebraic operations.
2. Verify the solution by substituting it back into the original equation.
3. Compare the solution with the given options.

To isolate $x$ , first add 6 to both sides of the equation to eliminate the constant term on the left side:
$5x - 6 + 6 = 29 + 6$
This simplifies to:
$5x = 35$

Next, divide both sides by 5 to solve for $x$ :
$\frac{5x}{5} = \frac{35}{5}$
This simplifies to:
$x = 7$

Verify the solution by substituting $x = 7$ back into the original equation:
$5(7) - 6 = 29$
Calculate the left-hand side:
$35 - 6 = 29$
Since both sides are equal, the solution is verified.

Compare the solution $x = 7$ with the given options: $x = 3$ , $x = 5$ , $x = 7$ , $x = 9$ .
The correct solution is:
$\boxed{7}$