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Chapter 3: Problem 31

Solve the equation if possible. $$ 24-6 r=6(4-r) $$

Short Answer

Expert verified
The equation is true for all real values of \(r\).

Step by step solution

01

Distribute the 6 on the right side of the equation

The right side of the equation is \(6(4-r)\). To simplify, distribute the 6 into the parentheses: \(24 - 6r = 24 - 6r\).
02

Verify if the equation is true

After the distribution in step 1, both sides of the equation became identical, so the original equation is an identity and holds true for any real value of \(r\).

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