SOLUTION: Solve this system of equations by graphing: x � 2y = -2 x + 2y = 6

Question 127480: Solve this system of equations by graphing:
x � 2y = -2
x + 2y = 6

Found 2 solutions by checkley71, jim_thompson5910:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x-2y=-2 or -2y=-x-2 or y=-x/-2-2/-2 or y=x/2+1 (red line)
x+2y=6 or 2y=-x+6 or y=-x/2+6/2 or y=-x/2+3 (green line)
(graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions x/2 +1 and -x/2 +3).
THE ANSWER IS(2,2)
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,)
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