Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Review: 16

Answer

(2,5)

Work Step by Step

3x + y = 11 x + 2y = 12 y=11-3x (rearranged formula by subtracting 3x from both sides) x+2y=12 x+2(11-3x)=12 (subsituted y=11-3x into x+2y=12) x+22-6x=12 -5x=-10 (subtracted 22 from both sides) x=2 (divided both sides by -5) 2+2y=12 (subsituted 2 into the "x" in x+2y=12) 2y=10 (subtracted 2 from both sides) y=5 (divided 2 from both sides) this gives us (2,5) Check if this works for the other formula:3x+y=11 3(2)+5=11 6+5=11 11=11 This shows that (2,5) is correct
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