Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set: 49

Answer

The second equation must be multiplied by $2$, which will produce a new system: $4x + 2y = -7$ $6x - 2y = -24$.

Work Step by Step

To eliminate $y$, the coefficients of $y$ must be the same for both equations, except one equation should have a positive value and the other equation should have a negative value. The coefficient of $y$ of the first equation is 2, so the coefficient of $y$ of the second equation must be made into $-2$ in order to use the addition method. The current coefficient of $y$ of the second equation is $-1$, so the second equation must be multiplied by $2$. $4x + 2y = -7$ $6x - 2y = -24$
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