Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.1 - Solving Systems of Linear Equations by Graphing - Exercise Set: 1

Answer

a) $(2, 4)$ is not a solution of both equations, so it is not a solution of the system. b) $(5, 30)$ is a solution of both equations, it is a solution of the system.

Work Step by Step

a) $(2, 4)$ $x + y = 8$ $2 + 4 = 8$ $6\ne8$ False $3x+2y=21$ $3(2)+2(4)=21$ $6+8=21$ $14\ne21$ False b) (5, 3) $x+y=8$ $5+3=8$ $8=8$ True $3x+2y=21$ $3(5)+2(3)=21$ $15+6=21$ $21=21$ True
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