SOLUTION: Could you please help me with the steps,in this kind of problem? I know that I have to solve each system graphically,but I have been sick and don't remember how to work them.Thank

Question 124889: Could you please help me with the steps,in this kind of problem? I know that I have to solve each system graphically,but I have been sick and don't remember how to work them.Thank you in advance.LH
1) x-y=3
x+y=5
2)3x+y=5
x-2y=4
3)4y=x+8
3x-2y=6
4)x=y-1
2x=3y
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you started

# 1

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 (,) (note: you might have to adjust the window to see the intersection)

# 2

Start with the given system of equations:

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