Algebra: A Combined Approach (4th Edition)

Published by Pearson

Chapter 4 - Section 4.3 - Solving Systems of Linear Equations by Addition - Exercise Set: 33

Answer

$(-\frac{1}{2},-2)$

Work Step by Step

$-4(x+2)=3y$ $2x-2y=3$ Expand and arrange the first equation. $-4x-8=3y$ $-4x-3y=8$ $-4x-3y=8$ $2x-2y=3$ Multiply the second equation by 2. $-4x-3y=8$ $4x-4y=6$ Add both equations. $-7y=14$ $y=-2$ Solve for $x$. $2x-2y=3$ $2x-2(-2)=3$ $2x+4=3$ $2x=-1$ $x=-\frac{1}{2}$ $x=-\frac{1}{2}; y=-2$ $(-\frac{1}{2},-2)$

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