SOLUTION: -x+y=1 2x+y=-2

Question 68426: -x+y=1
2x+y=-2
Answer by rmromero(383) (Show Source): You can put this solution on YOUR website!
-x+y=1
2x+y=-2
Here are the Steps Systems of Equation using Substition method
1. In either equation, solve for one variable in terms of the other.

--> -x + y = 1
x = y - 1

2. Substitute y - 1 for for x in the other equation 2x + y = -2. Solve.

--> 2(y-1) + y = -2
2y - 2 + y = -2
3y = 0
y = 0

3. Substitute the result from step 2 in either equation. Solve for the other variable.

--> -x + y = 1, y =0
-x + 0 = 1
-x = 1
x = -1

4. Check the solution in both original equations.
A. -x + y = 1, y=0 , x=-1
-(-1) + 0 = 1
1 = 1 ------------------->> true

B. 2x + y = -2, y =0, x = -1
2(-1) + 0 = -2
-2 = -2 ------------------>> True

Therefore the solution of the system of the equation is (-1, 0)
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