SOLUTION: Could someone help me with a few system of equations problems please? These ones are to be solved by the graphing method,and I have to show how I got them when I take the test in

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Question 145192: Could someone help me with a few system of equations problems please? These ones are to be solved by the graphing method,and I have to show how I got them when I take the test in the future,So if you could show me step by step that would be great.
1) -x + y = -1
x + y = 3

2) 3x + y = -6
x + y = -4

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started





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


Add to both sides


Rearrange the equation


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



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 (2,1)

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