Solve the system by graphing

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pumpkin1625

High School

Solve the system by graphing

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(Based on todays review)

gmany

$\left\{\begin{array}{ccc}-2x=2y-4\\2x-y=-5\end{array}\right\\\\2y-4=-2x\ \ \ \ |+4\\2y=-2x+4\ \ \ \ |:2\\y=-x+2\\for\ x=0\to y=-0+2=2\to(0,\ 2)\\for\ x=2\to y=-2+2=0\to(2,\ 0)\\\\2x-y=-5\ \ \ \ |-2x\\-y=-2x-5\ \ \ \ |\cdot(-1)\\y=2x+5\\for\ x=0\to y=2(0)+5=5\to(0,\ 5)\\for\ x=-2\to y=2(-2)+5=1\to(-2,\ 1)\\\\Answer:\ (-1,\ 3)\to\ x=-1,\ y=3$
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