Algebra 1

Published by Prentice Hall
ISBN 10: 0133500403
ISBN 13: 978-0-13350-040-0

Chapter 6 - Systems of Equations and Inequalities - 6-2 Solving Systems Using Substitution - Mixed Review: 56

Answer

$c=2$

Work Step by Step

We start with the given equation: $4c-7=-c+3$ We subtract $4c$ from both sides of the equation: $4c-4c-7=-4c-c+3$ We subtract $3$ from both sides of the equation: $4c-4c-7-3=-4c-c+3-3$ We combine like terms on both sides of the equation: $-10=-5c$ We divide by $-5$ on both sides of the equation: $c=\frac{-10}{-5}=2$
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