Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 10 - Section 10.1 - Systems of Linear Equations in Two Variables - 10.1 Exercises - Page 688: 8

Answer

x = 4 y = -1

Work Step by Step

1. First solve the first equation for Y 2. Solving the First equation for Y will give you Y = -2X + 7 3. Plug in -2X + 7 for Y into the second equation 4. Plugging in -2X + 7 into second equation X + 2(-2X + 7) = 2 5. Evaluating this new equation gives out X - 4X + 14 = 2 6. Solving for x you get -3X = -12, or X = 4 7. Now plug in X = 4 into the first equation to get 8 + Y = 7 8. Solving for Y you get Y = 7-8 or Y = -1
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