Solved on Feb 26, 2024

Solve for variable $x$ in the equation $8x = -16$ . Express the solution in fraction form if applicable.

STEP 1

Assumptions
1. We are given the linear equation $8x = -16$ .
2. We need to solve for the variable $x$ .

STEP 2

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $x$ , which is 8.
$\frac{8x}{8} = \frac{-16}{8}$

STEP 3

Perform the division on both sides of the equation.
$x = -\frac{16}{8}$

STEP 4

Reduce the fraction on the right-hand side to its simplest form.
$x = -\frac{16 \div 8}{8 \div 8}$

STEP 5

Complete the division to find the value of $x$ .
$x = -\frac{2}{1}$

STEP 6

Since a fraction with a denominator of 1 is equivalent to the numerator itself, we can simplify the expression further.
$x = -2$
The solution to the equation $8x = -16$ is $x = -2$ .

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Solve for variable $x$ in the equation $8x = -16$ . Express the solution in fraction form if applicable.

STEP 1

Assumptions
1. We are given the linear equation $8x = -16$ .
2. We need to solve for the variable $x$ .

STEP 2

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $x$ , which is 8.
$\frac{8x}{8} = \frac{-16}{8}$

STEP 3

Perform the division on both sides of the equation.
$x = -\frac{16}{8}$

STEP 4

Reduce the fraction on the right-hand side to its simplest form.
$x = -\frac{16 \div 8}{8 \div 8}$

STEP 5

Complete the division to find the value of $x$ .
$x = -\frac{2}{1}$

STEP 6

Since a fraction with a denominator of 1 is equivalent to the numerator itself, we can simplify the expression further.
$x = -2$
The solution to the equation $8x = -16$ is $x = -2$ .

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Solve for variable xxx in the equation 8x=−168x = -168x=−16. Express the solution in fraction form if applicable.

STEP 1

Assumptions1. We are given the linear equation 8x=−168x = -168x=−16.2. We need to solve for the variable xxx.

STEP 2

To solve for xxx, we need to isolate xxx on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of xxx, which is 8.8x8=−168\frac{8x}{8} = \frac{-16}{8}88x​=8−16​

STEP 3

Perform the division on both sides of the equation.x=−168x = -\frac{16}{8}x=−816​

STEP 4

Reduce the fraction on the right-hand side to its simplest form.x=−16÷88÷8x = -\frac{16 \div 8}{8 \div 8}x=−8÷816÷8​

STEP 5

Complete the division to find the value of xxx.x=−21x = -\frac{2}{1}x=−12​

STEP 6

Since a fraction with a denominator of 1 is equivalent to the numerator itself, we can simplify the expression further.x=−2x = -2x=−2The solution to the equation 8x=−168x = -168x=−16 is x=−2x = -2x=−2.

Start learning now

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

Solve for variable $x$ in the equation $8x = -16$ . Express the solution in fraction form if applicable.

Assumptions
1. We are given the linear equation $8x = -16$ .
2. We need to solve for the variable $x$ .

To solve for $x$ , we need to isolate $x$ on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $x$ , which is 8.
$\frac{8x}{8} = \frac{-16}{8}$

Perform the division on both sides of the equation.
$x = -\frac{16}{8}$

Reduce the fraction on the right-hand side to its simplest form.
$x = -\frac{16 \div 8}{8 \div 8}$

Complete the division to find the value of $x$ .
$x = -\frac{2}{1}$

Since a fraction with a denominator of 1 is equivalent to the numerator itself, we can simplify the expression further.
$x = -2$
The solution to the equation $8x = -16$ is $x = -2$ .