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QuestionSolve the equation 8x=−168x = -16 and verify your solution by substituting it back into the equation.

Studdy Solution

STEP 1

Assumptions1. The equation to solve is 8x=−168x = -16. . We are looking for a real number solution for xx.

STEP 2

To isolate xx, we need to divide both sides of the equation by8.
x=−168x = \frac{-16}{8}

STEP 3

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

STEP 4

Now that we have a proposed solution, x=−2x = -2, we need to check this solution by substituting it back into the original equation.
8x=−168x = -16Substitute x=−2x = -2 into the equation8(−2)=−168(-2) = -16

STEP 5

Calculate the left side of the equation to verify if it equals to the right side.
−16=−16-16 = -16The left side of the equation equals the right side, so x=−2x = -2 is indeed the solution to the equation 8x=−168x = -16.

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