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Chapter 7: Problem 7

Verify that the given value is a solution of the given equation. $$ 11 x-1=10, x=1 $$

Short Answer

Expert verified
Question: Verify if x = 1 is a solution to the equation 11x - 1 = 10. Answer: Yes, x = 1 is a solution to the equation 11x - 1 = 10.

Step by step solution

01

Write down the given equation and value of x

The given equation is: $$ 11x-1=10 $$ And the given value of x is: $$ x = 1 $$
02

Substitute the value of x into the equation

Now, substitute the given value of x (x = 1) into the equation: $$ 11(1) - 1 = 10 $$
03

Simplify the equation

Simplify the equation by performing the multiplication and subtraction: $$ 11 - 1 = 10 $$
04

Check if both sides of the equation are equal

Now, check if both sides of the equation are equal: $$ 10 = 10 $$ Since both sides of the equation are equal, this verifies that the given value of x (x = 1) is a solution to the given equation (11x - 1 = 10).

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