Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 9 - 9.1 - Linear and Nonlinear Systems of Equations - 9.1 Exercises - Page 635: 15

Answer

The solution is x = 6 and y = 4.

Work Step by Step

Note: The top equation is equation 1 and the bottom equation is equation 2. Solve for y in the first equation: x - y = 2 x = 2 + y x - 2 = y Plug that y value into the second equation: 6x - 5(x - 2) = 16 6x - 5x + 10 = 16 x + 10 = 16 x = 6 Use the x value and the equation above to solve for y: y = 6 - 2 y = 4 The solution is x = 6 and y = 4.
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