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 - Page 555: 15

Answer

All equations are true, so the solution is correct.

Work Step by Step

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