Chapter 6, Problem 1RE

For Exercises 1–7, simplify each algebraic expression.

1. 6x + 3y − 10 + 2y − 8x + 3

To determine

To simplify: The algebraic expression $6x+3y-10+2y-8x+3$.

Answer to Problem 1RE

Solution:

The simplified form of algebraic expression is $-2x+5y-7$.

Explanation of Solution

Combine the like terms of x from the algebraic expression $6x+3y-10+2y-8x+3$ as $6x-8x=-2x$.

Combine the like terms of y from the algebraic expression $6x+3y-10+2y-8x+3$ as $3y+2y=5y$.

Combine the constant terms of the algebraic expression $6x+3y-10+2y-8x+3$ as $-10+3=-7$.

Hence, the simplified form of algebraic expression is $-2x+5y-7$