Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 3 - Section 3.2 - Problem Solving and Business Applications Using Systems of Equations - Exercise Set - Page 208: 75

Answer

The final answer is $ 11x+4y=-3 $.

Work Step by Step

The given equations are $ 5x-2y-4z=3 $ ... (1) $ 3x+3y+2z=-3 $ ... (2) Multiply the equation (2) by $2$. $ 2\cdot 3x+2\cdot 3y+2\cdot 2z=-2\cdot 3 $ $ 6x+6y+4z=-6 $ ... (3) Add equation (1) and (3). $ 5x-2y-4z+6x+6y+4z=3-6 $ Add like terms $ 11x+4y=-3 $.
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