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Chapter 7: Problem 8

Verify that the given value is a solution of the given equation. $$ 0.01 x-1=0, x=100 $$

Short Answer

Expert verified
Question: Verify that x = 100 is a solution to the given equation, 0.01x - 1 = 0. Answer: Yes, x = 100 is a solution to the equation, as substituting this value results in a true statement: 0 = 0.

Step by step solution

01

Substitute the given value of x into the equation

We are given the equation, 0.01x - 1 = 0, and the value of x = 100. We substitute x = 100 into the equation:\[0.01(100) - 1 = 0\]
02

Simplify the equation

Now that we have the value of x in the equation, we can simplify it:\[1 - 1 = 0\]
03

Check for equality

After simplification, we have the equation 0 = 0, which is a true statement. Since both sides of the equation are equal after substituting the value x = 100, we can conclude that x = 100 is indeed a solution to the given equation, 0.01x - 1 = 0.

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