SOLUTION: Solve by addition: 3x+y=5 x+2y=0 Thank you in advance! :)

Question 414516: Solve by addition:
3x+y=5
x+2y=0

Thank you in advance! :)
Answer by algebrahouse.com(1659) (Show Source): You can put this solution on YOUR website!
Solve by addition:

3x + y = 5------> -6x - 2y = -10 {multiplied top equation by -2}
x + 2y = 0--------> x + 2y = 0 {bottom equation stays the same}

-5x = -10 {added the two new equations together}
x = 2 {divided both sides by -5}

x + 2y = 0 {bottom original equation}
2 + 2y = 0 {substituted -2, in for x, into bottom original equation}
2y = -2 {subtracted 2 from both sides}
y = -1 {divided both sides by 2}

x = 2 and y = -1
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