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Simplify the expression by combining like terms: 2x + 5x + 7 + y - 3x + 4y + 2

Question:

Simplify the expression by combining like terms:

2x + 5x + 7 + y - 3x + 4y + 2

Simplify

In a complex world of variables, exponents and functions, the term simplify means to do what is mathematically possible to do away with the extraneous information and get it to its most basic form.

Answer and Explanation:

In combining like terms, we arrange the variables alphabetically in descending order. In the expression:

{eq}2x + 5x + 7 + y +3x +4y + 2 {/eq}

We group them according to their variables with the constant in the very end:

{eq}y +4y+ 2x + 5x +3x + 2 + 7 {/eq}

We then combine like terms according to their mathematical operations:

{eq}(y +4y)+ (2x + 5x +3x) + (2 + 7) {/eq}

{eq}5y+ 10x + 9 {/eq}

Thus, {eq}2x + 5x + 7 + y +3x +4y + 2 {/eq}

in simplified form is {eq}5y+ 10x + 9 {/eq}.


Learn more about this topic:

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Evaluating Simple Algebraic Expressions

from ELM: CSU Math Study Guide

Chapter 6 / Lesson 3
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