SOLUTION: I know these questions are easy for you guys but I just don't retain any algebra at all. I try my best before I consult you. On that note can you help me refresh my memory on this

Question 128750: I know these questions are easy for you guys but I just don't retain any algebra at all. I try my best before I consult you. On that note can you help me refresh my memory on this graphing type problem? I need to solve by graphing.
Do I need points for this question? If I do I will use x = points 0 ,-1, 1 and
Do I need points for Y ? Can you show me the easiest way? I really appreciate all your help, I really do! This problem is a handout and is not in a book. Thanks so much.
x-2y=0 and 2x-y= -3
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let's graph the first equation

Let's find a point using

Start with the first equation

Plug in

Simplify

Divide both sides by -2 to isolate y

Reduce

So when , . So our first point is (0,0)

Let's find another point using

Start with the first equation

Plug in

Subtract 1 from both sides

Divide both sides by -2 to isolate y

Reduce

So when , . So our second point is

Now plot the points

and

Now draw a straight line through the two points. This line is the graph of

Graph of through the two points

and

Let's graph the second equation

Let's find a point using

Start with the second equation

Plug in

Simplify

Divide both sides by -1 to isolate y

Reduce

So when , . So our first point is (0,3)

Let's find another point using

Start with the second equation

Plug in

Multiply

Subtract 2 from both sides

Divide both sides by -1 to isolate y

Reduce

So when , . So our second point is (1,5)

Now plot the points

and

Now draw a straight line through the two points. This line is the graph of

Graph of through the two points

and

Now simply graph these two line together to get

Graph of (green) and (red)

From the graph, we can see that the two lines intersect at the point (-2,-1) (blue point)
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