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: 7

Answer

(2,2)

Work Step by Step

For this problem, Equation 1: 2x + y = 6 Equation 2: -x + y = 0 For substitution we need to solve for a variable. In this problem, we will solve for y in Equation 2 to get Equation 3: y = x (Equation 3) We then substitute that into Equation 1 and solve for x: 2x + x = 6 3x = 6 x= 2 We then use Equation 3: y = 2 Therefore (2,2) is a solution. Furthermore, the two graphs cross at (2,2), so the answer is confirmed.
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