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)   (Show Source): You can put this solution on YOUR website!
Simply graph and on one graph like this

graph of (red) and (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


and you would do this for every point in your table

So the table for 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

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

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