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Chapter 6: Problem 88

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. \(x-0.02(x+200)=0.98 x-4\)

Short Answer

Expert verified
The equation is true, no changes are needed.

Step by step solution

01

Give formal form to the expression

The first step is to replace the equation \(x-0.02(x+200)=0.98 x-4\) in a form that can be solved. Likely we'd need to distribute the term on x on the left side of the equation. This means \(x-0.02x-4 = 0.98x - 4\).
02

Combine like terms

Combine like terms on both sides of the equation starts with collecting terms that contains x. Also don't forget to simplify if possible. That turns the equation into: \(0.98x -4 =0.98x -4\).
03

Compare both side of the equation

Now once we have equal amount of x term on both sides of the equation and constants are the same. We see that after simplifying, both sides are identical, meaning the original equation is indeed true.

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