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Chapter 7: Problem 2

Verify that the given value is a solution of the given equation. $$ 3 x-7=-28, x=-7 $$

Short Answer

Expert verified
Question: Verify if x = -7 is a solution to the equation 3x - 7 = -28.

Step by step solution

01

Write down the original equation and the given value of x

The original equation is \(3x - 7 = -28\), and the given value of x is \(x = -7\).
02

Substitute the given value of x into the equation

Replace x with -7 in the equation, like this: \(3(-7) - 7 = -28\)
03

Simplify the left-hand side of the equation

Multiply the 3 by the -7 and subtract 7 from the result: \((-21) - 7 = -28\)
04

Compare the simplified left-hand side with the right-hand side

Check if the simplified left-hand side equals the right-hand side: \(-28 = -28\)
05

Confirm the solution

Since the left-hand side equals the right-hand side after substituting the given value of x, we can confirm that \(x = -7\) is indeed a solution of the given equation \(3x -7 = -28\).

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