## College Algebra (10th Edition)

Published by Pearson

# Chapter 8 - Section 8.1 - Systems of Linear Equations: Substitution and Elimination - 8.1 Assess Your Understanding - Page 555: 18

#### Answer

All equations are true, so the solution is correct.

#### Work Step by Step

In order to verify that the point is a solution, we substitute the values of all 3 variables into all equations to ensure that they produce a true result: $$4(4) - 5(2) =6 \\6=6$$ For equation two: $$5(-3) -2 =-17 \\ -17=-17$$ For equation three: $$-4-6(-3)+5(2)= 24 \\ 24=24$$ All equations are true, so the solution is correct.

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