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Chapter 3: Problem 5

Can we solve \(3(c+2)+5(2 c-5) ?\) Why or why not?

Short Answer

Expert verified
We cannot solve the algebraic expression \(3(c+2)+5(2 c-5)\) for an exact value of \(c\) because it is not an equation with an equal sign. However, we can simplify the expression by distributing the coefficients and combining like terms, resulting in the simplified expression \(13c - 19\).

Step by step solution

01

Recognize the type of expression

The given expression is \(3(c+2)+5(2 c-5)\). This is an algebraic expression, not an equation, because there is no equals sign denoting that the expression should equal another value. This means we cannot solve it for an exact value of \(c\), but we can simplify the expression.
02

Distribute and Combine Like Terms

We will now distribute the coefficients to the terms inside the parentheses and then combine the like terms for the expression. \(3(c+2)+5(2 c-5)\) Step 1: Distribute the coefficients to the terms inside the parentheses \(3c + 6 + 10c - 25\) Step 2: Combine the like terms \((3c + 10c) +(6 - 25)\) Step 3: Simplify \(13c - 19\) The simplified form of the given algebraic expression is \(13c - 19\).

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Most popular questions from this chapter

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