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: 8

Answer

The given ordered pair is not a solution.

Work Step by Step

We have $$4x+5y=-7$$ $$-8x=3y-1$$ Possible solution $(\frac{3}{4},-2)$ Substituting on Equation (1) $$4*\frac{3}{4}+5*(-2) = -7$$ $$3-10=-7$$ $$-7=-7$$ Substituting on Equation (2) $$-8*\frac{3}{4} = 3*(-2) -1$$ $$-6=-6-1$$ $$-6\ne-7$$ The given ordered pair is not a solution.
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