Algebra: A Combined Approach (4th Edition)

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

Chapter 4 - Section 4.3 - Integrated Review - Summary on Solving Systems of Equations: 2

Answer

(4, 2)

Work Step by Step

Insert the equation for y in terms of x into the first equation, and solve for x: 4x - 5(3x - 10) = 6 4x - 15x + 50 = 6 -11x + 50 = 6 -11x = -44 x = 4 Let x = 4 in the second equation to solve for y: y = 3(4) - 10 y = 2 Check the solution (4, 2) in the first equation: 4(4) - 5(2) = 6 16 - 10 = 6 6 = 6; True
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