QuestionSolve the equation $8 x = -16$ and check your solution. What is the solution set? (Type an integer or simplified fraction.)

Studdy Solution

STEP 1

Assumptions1. The given equation is $8x = -16$ . We need to solve for $x$

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 by8.
$x = \frac{-16}{8}$

STEP 3

Now, calculate the value of $x$ .
$x = \frac{-16}{8} = -2$

STEP 4

Now that we have a proposed solution, we need to check it by substituting it back into the original equation.
$8x = -16$ Substitute $x = -2$ into the equation.
$8(-2) = -16$

STEP 5

Check if the left side of the equation equals the right side after the substitution.
$-16 = -16$ Since the left side equals the right side, the solution $x = -2$ is correct.
The solution set is $x = -2$ .

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QuestionSolve the equation $8 x = -16$ and check your solution. What is the solution set? (Type an integer or simplified fraction.)

Studdy Solution

STEP 1

Assumptions1. The given equation is $8x = -16$ . We need to solve for $x$

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 by8.
$x = \frac{-16}{8}$

STEP 3

Now, calculate the value of $x$ .
$x = \frac{-16}{8} = -2$

STEP 4

Now that we have a proposed solution, we need to check it by substituting it back into the original equation.
$8x = -16$ Substitute $x = -2$ into the equation.
$8(-2) = -16$

STEP 5

Check if the left side of the equation equals the right side after the substitution.
$-16 = -16$ Since the left side equals the right side, the solution $x = -2$ is correct.
The solution set is $x = -2$ .

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QuestionSolve the equation 8x=−168 x = -168x=−16 and check your solution. What is the solution set? (Type an integer or simplified fraction.)

Studdy Solution

STEP 1

Assumptions1. The given equation is 8x=−168x = -168x=−16 . We need to solve for 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 by8.x=−168x = \frac{-16}{8}x=8−16​

STEP 3

Now, calculate the value of xxx.x=−168=−2x = \frac{-16}{8} = -2x=8−16​=−2

STEP 4

Now that we have a proposed solution, we need to check it by substituting it back into the original equation.8x=−168x = -168x=−16Substitute x=−2x = -2x=−2 into the equation.8(−2)=−168(-2) = -168(−2)=−16

STEP 5

Check if the left side of the equation equals the right side after the substitution.−16=−16-16 = -16−16=−16Since the left side equals the right side, the solution x=−2x = -2x=−2 is correct.The solution set is x=−2x = -2x=−2.

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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 $8 x = -16$ and check your solution. What is the solution set? (Type an integer or simplified fraction.)

Assumptions1. The given equation is $8x = -16$ . We need to solve for $x$

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 by8.
$x = \frac{-16}{8}$

Now, calculate the value of $x$ .
$x = \frac{-16}{8} = -2$

Now that we have a proposed solution, we need to check it by substituting it back into the original equation.
$8x = -16$ Substitute $x = -2$ into the equation.
$8(-2) = -16$

Check if the left side of the equation equals the right side after the substitution.
$-16 = -16$ Since the left side equals the right side, the solution $x = -2$ is correct.
The solution set is $x = -2$ .