Introductory Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-805-X
ISBN 13: 978-0-13417-805-9

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by the Addition Method - Exercise Set - Page 310: 1


$x = 4$

Work Step by Step

The coefficients of the $y$ term differ only in sign, so if we add these equations without modification, we will cancel out the $y$ term and can then solve for $x$: Let us add the equations. First, we cancel out the $y$ term: $x + y = -3$ $x - y = 11$ _____________ $x = -3$ $x = 11$ Now we add both sides of the two equations to get: $$2x = 8$$ Divide by $2$ to solve for $x$: $$x = 4$$
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