Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations in Two Variables - Exercise Set - Page 212: 17

Answer

Ordered pair solution $(0,-9)$

Work Step by Step

We have $$(1) 4x-y=9$$ $$(2)2x+3y=-27$$ From (1) $$(3)y = 4x-9$$ Substituting (3) in (2) $$2x+3(4x-9)=-27$$ $$2x+12x-27 = -27$$ $$14x=0$$ $$x=0$$ Solving for $y$ $$y = 4(0) -9 = -9$$ Ordered pair solution $(0,-9)$
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