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(52835) (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.