Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 3 - Linear Systems - 3-2 Solving Systems Algebraically - Practice and Problem-Solving Exercises: 44

Answer

$x = -6$, $y = 30$

Work Step by Step

Given: $5x + y = 0$ $5x + 2y = 30$ Subtract the first equation, $5x + y = 0$, from the second equation, $5x + 2y = 30$: $5x + 2y - (5x + y) = 30 - (0)$ $5x + 2y - (5x + y) = 30$ Subtract each term of the binomial: $5x - 5x + 2y - y = 30$ $y = 30$ Substitute $y = 30$ into the first equation, $5x + y = 0$: $5x + y = 0$ $5x + (30) = 0$ $5x + 30 = 0$ Subtract $30$ from both sides: $5x = -30$ Divide both sides by $5$: $x = -6$ $x = -6$, $y = 30$
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