Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Practice and Problem-Solving Exercises - Page 371: 13


$( -\frac{5}{7}, \frac{16}{7})$

Work Step by Step

We know that y=x+3. Thus, in the second equation, wherever we see y, we will substitute x+3, and then we will solve: $ 3x+4(x+3)=7 \\\\ 7x+12 =7 \\\\ 7x=-5 \\\\ x=-\frac{5}{7}$ We now substitute x=-5/7 back in: y=(-5/7)+3=$\frac{16}{7}$ We plug our values for x and y back into the first equation and confirm that our answer is, indeed, correct.
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