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Chapter 6: Problem 9

Solve and check each equation. \(8 x=-24\)

Short Answer

Expert verified
The solution of the equation \(8x = -24\) is \(x = -3\).

Step by step solution

01

Set up the equation

The equation that needs to be solved is \(8x = -24\).
02

Isolate the variable x

To isolate the variable \(x\), divide all the terms in the equation by 8. That gives us \[x = -24 / 8\].
03

Simplify to find the value of x

The right side of the equation simplifies to -3. Thus the solution of the equation is \[x = -3\]
04

Check the solution

Substitute -3 for \(x\) in the original equation which is \(8x = -24\), giving \[8(-3) = -24\] This equation is true, so -3 is indeed the solution.

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Solve each equation by the method of your choice. \(2 x^{2}-9 x-3=9-9 x\)

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