how do I solve the Algebra problem Y=2x+2

Question

i do not understand how to get the answer to my problems 1) y=-2x+6    y=2x+2

Answer 1

You are given a "system of equations"

y=-2x+6

y=2x+2

We can apply the "elimination method" by simply adding both equations together.  The idea is get rid of one of the variables.  Notice, when we do this, we eliminate the x:

y=-2x+6

y=2x+2

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2y = 8

y = 4

Now, to find x, we substitute the above back into either of the two original equation (pick the simpler one):

y=2x+2

4=2x+2

2 = 2x

1 = x

Answer: x=1 and y=4