## Algebra 1: Common Core (15th Edition)

Published by Prentice Hall

# Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises: 20

#### Answer

$x=5, y=2$

#### Work Step by Step

To solve this system, first simply the first equation so that x is separated on the other side of the '=' symbol. Then, substitute 'y+3' for x in the second equation, and solve. After getting the 'y' value, substitute that into the first equation, and you can get the 'x' value. $4y+3=3y+x = x=y+3$ $2x+4y=18$ $2(y+3)+4y=18$ $2y+6+4y=18$ $6y+6=18$ $6y=12$ $y=2$ $x=y+3$ $x=2+3$ $x=5$

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