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Chapter 7: Problem 3

Verify that the given value is a solution of the given equation. $$ 8 x-3=-11, x=-1 $$

Short Answer

Expert verified
Question: Verify if x = -1 is a solution to the equation 8x - 3 = -11. Answer: Yes, x = -1 is a solution to the equation 8x - 3 = -11.

Step by step solution

01

Write down the given equation and given value of x

The given equation is: $$ 8x - 3 = -11 $$ And the given value of x is: $$ x = -1 $$
02

Substitute the given value of x into the equation

Replace x with -1 in the equation: $$ 8(-1) - 3 = -11 $$
03

Simplify the equation and check for equality

Calculate the left side of the equation: $$ -8 - 3 = -11 $$ The left side of the equation is equal to the right side, which shows that the given value of x is indeed a solution to the given equation.

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