Question 68426
-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.
<br>--> -x + y = 1 
        x = y - 1
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2. Substitute y - 1 for for x in the other equation 2x + y = -2. Solve.
<br>--> 2(y-1) + y = -2
        2y - 2 + y = -2
        3y = 0
        y = 0
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3. Substitute the result from step 2 in either equation. Solve for the other variable.
<br> --> -x + y = 1, y =0
         -x + 0 = 1
         -x = 1
          x = -1
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4. Check the solution in both original equations.
A. -x + y = 1, y=0 , x=-1
   -(-1) + 0 = 1
    1 = 1 ------------------->> true
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B. 2x + y = -2, y =0, x = -1
   2(-1) + 0 = -2
   -2 = -2 ------------------>> True

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