Question

Solve and graph x+y=0 and x-y+2=0

Answer 1

Answer is x=-1 and y=1

Answer 2

x=-1, y=1

( -1,1)

Explanation:

Lets solve these by elimination. We will add the two equations together and eliminate y

x+y=0

x-y+2=0

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2x +2 = 0

Subtract 2 from each side.

2x+2 -2 =0-2

2x = -2

Divide by 2 on each side to get x alone.

2x/2 = -2/2

x = -1

Now that we have x, we need to solve for y

x+ y =0

Substitute x back into the equation.

-1 + y = 0

Add 1 to each side

-1+1 +y = 0 + 1

y =1

( -1,1)