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: 1

Answer

x, y, equation, (2,1)

Work Step by Step

So this is a fill-in-the-blank question. The system of equations... is a system of two equations in the two variables (x) and (y)... we check whether x = 5 and y = -1 satisfy each (equation) in the system. The question then asks whether the following are solutions of the system: Given: $2x + 3y = 7$ $5x - y = 9$ (5,-1) $2 (5) + 3(-1) = 7$ True $5 (5) - (-1) = 9$ False (-1, 3) $2(-1) + 3(3) = 7$ True $5 (-1) - 3 = 9$ False (2,1) $2(2) + 3(1) = 7$ True $5 (2) - 1 = 9$ True Thus $(2,1)$ is the only answer
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