SOLUTION: if it says 'solve the system of equations by graphing. then state the system as a point. how do you do it? the problem is: y=-x+3 y=x+1

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Question 82692: if it says 'solve the system of equations by graphing. then state the system as a point.
how do you do it?
the problem is:
y=-x+3
y=x+1
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simply graph y=-x%2B3 and y=x%2B1 on one graph like this

+graph%28+300%2C+200%2C+-5%2C+5%2C+-5%2C+5%2C+-x%2B3%2C+x%2B1%29+ graph of y=-x%2B3 (red) and y=x%2B1(green)

The solution to the system is the point of intersection. So it appears they intersect at (1,2). So the solution is (1,2).

If you aren't allowed to use a graphing calculator, then you must make a table for each equation.

So if you let x=1 you get
y=-%281%29%2B3=2
y=2
and you would do this for every point in your table

So the table for y=-x%2B3 would look like 

          x          y
   -5.00000    8.00000
   -4.00000    7.00000
   -3.00000    6.00000
   -2.00000    5.00000
   -1.00000    4.00000
    0.00000    3.00000
    1.00000    2.00000
    2.00000    1.00000
    3.00000    0.00000
    4.00000   -1.00000
    5.00000   -2.00000


Also, if you're required to make tables, you would have to make another table for y=x%2B1

After making the tables, you can simply plot them on graphing paper to see where they intersect. That intersection is the solution.