QuestionSolve the equation: $6.3 = 1.5z - 1.7z + 5.9$ . Provide the answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is $6.3=1.5z-1.7z+5.9$ . The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places

STEP 2

First, we need to simplify the equation by combining like terms on the right side of the equation.
$6. = (1.5z -1.7z) +5.9$

STEP 3

Subtract $1.7z$ from $1.5z$ to simplify the equation.
$6.3 = -0.2z +5.9$

STEP 4

Next, we need to isolate $z$ by subtracting $.9$ from both sides of the equation.
$6.3 -.9 = -0.2z$

STEP 5

Subtract $5.9$ from $.3$ to simplify the equation.
$0.4 = -0.2z$

STEP 6

Now, we need to solve for $z$ by dividing both sides of the equation by $-0.2$ .
$\frac{0.4}{-0.2} = z$

STEP 7

Divide $0.4$ by $-0.2$ to find the value of $z$ .
$z = -2$ The solution to the equation is $z = -2$ .

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QuestionSolve the equation: $6.3 = 1.5z - 1.7z + 5.9$ . Provide the answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is $6.3=1.5z-1.7z+5.9$ . The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places

STEP 2

First, we need to simplify the equation by combining like terms on the right side of the equation.
$6. = (1.5z -1.7z) +5.9$

STEP 3

Subtract $1.7z$ from $1.5z$ to simplify the equation.
$6.3 = -0.2z +5.9$

STEP 4

Next, we need to isolate $z$ by subtracting $.9$ from both sides of the equation.
$6.3 -.9 = -0.2z$

STEP 5

Subtract $5.9$ from $.3$ to simplify the equation.
$0.4 = -0.2z$

STEP 6

Now, we need to solve for $z$ by dividing both sides of the equation by $-0.2$ .
$\frac{0.4}{-0.2} = z$

STEP 7

Divide $0.4$ by $-0.2$ to find the value of $z$ .
$z = -2$ The solution to the equation is $z = -2$ .

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QuestionSolve the equation: 6.3=1.5z−1.7z+5.96.3 = 1.5z - 1.7z + 5.96.3=1.5z−1.7z+5.9. Provide the answer as an integer, fraction, or decimal (2 decimal places).

Studdy Solution

STEP 1

Assumptions1. The equation is 6.3=1.5z−1.7z+5.96.3=1.5z-1.7z+5.96.3=1.5z−1.7z+5.9 . The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places

STEP 2

First, we need to simplify the equation by combining like terms on the right side of the equation.6.=(1.5z−1.7z)+5.96. = (1.5z -1.7z) +5.96.=(1.5z−1.7z)+5.9

STEP 3

Subtract 1.7z1.7z1.7z from 1.5z1.5z1.5z to simplify the equation.6.3=−0.2z+5.96.3 = -0.2z +5.96.3=−0.2z+5.9

STEP 4

Next, we need to isolate zzz by subtracting .9.9.9 from both sides of the equation.6.3−.9=−0.2z6.3 -.9 = -0.2z6.3−.9=−0.2z

STEP 5

Subtract 5.95.95.9 from .3.3.3 to simplify the equation.0.4=−0.2z0.4 = -0.2z0.4=−0.2z

STEP 6

Now, we need to solve for zzz by dividing both sides of the equation by −0.2-0.2−0.2.0.4−0.2=z\frac{0.4}{-0.2} = z−0.20.4​=z

STEP 7

Divide 0.40.40.4 by −0.2-0.2−0.2 to find the value of zzz.z=−2z = -2z=−2The solution to the equation is z=−2z = -2z=−2.

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QuestionSolve the equation: $6.3 = 1.5z - 1.7z + 5.9$ . Provide the answer as an integer, fraction, or decimal (2 decimal places).

Assumptions1. The equation is $6.3=1.5z-1.7z+5.9$ . The solution should be expressed as an integer, simplified fraction, or decimal rounded to two decimal places

First, we need to simplify the equation by combining like terms on the right side of the equation.
$6. = (1.5z -1.7z) +5.9$

Subtract $1.7z$ from $1.5z$ to simplify the equation.
$6.3 = -0.2z +5.9$

Next, we need to isolate $z$ by subtracting $.9$ from both sides of the equation.
$6.3 -.9 = -0.2z$

Subtract $5.9$ from $.3$ to simplify the equation.
$0.4 = -0.2z$

Now, we need to solve for $z$ by dividing both sides of the equation by $-0.2$ .
$\frac{0.4}{-0.2} = z$

Divide $0.4$ by $-0.2$ to find the value of $z$ .
$z = -2$ The solution to the equation is $z = -2$ .