SOLUTION: solve the system x-3y=2 -x+2y=0

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Question 1044177: solve the system
x-3y=2
-x+2y=0
Found 3 solutions by Boreal, jorel555, ikleyn:
Answer by Boreal(15235)   (Show Source):
You can put this solution on YOUR website!
x-3y=2
-x+2y=0. When you have two equations where one variable is exactly opposite in both equations, you add them and that variable disappears.
When you add these two, you get
-y=2
y=-2
substitute into one equation to get x
x-(-6)=2
x+6=-2
x=-4
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check by trying both in the other equation -(-4)+(2)(-2)=0
checks
(-4,-2)

Answer by jorel555(1290)   (Show Source):
You can put this solution on YOUR website!
x-3y=2
-x+2y=0
Add the two equations:
-y=2
y=-2
x=-4. ☺☺☺☺

Answer by ikleyn(52834)   (Show Source):
You can put this solution on YOUR website!
.solve the system
x-3y=2
-x+2y=0
~~~~~~~~~~~~

x - 3y = 2, (1) -x + 2y = 0. (2) Add equations (1) and (2) (both sides). You will get -y = 2. Hence, y = -2. Then from (1) x = 2 + 3y = 2 + 3*(-2) = 2 - 6 = -4. Answer. x = -4, y = -2.