College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding: 16

Answer

All equations are true, so the solution is correct.

Work Step by Step

In order to verify that the given point is a solution, we substitute the values of all 3 variables into both equations to ensure that they produce a true result: $$ 4(2)-1 =7 \\ 7=7$$ For equation two: $$8(2) + 5(-3)-1=0 \\0=0$$ For equation three: $$-2-(-3)+5(1)=6 \\6=6$$ All equations are true, so the solution is correct.
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