SOLUTION: Solve the following systems graphically. Also show the work as to how you came to the answer so I can understand. -x+3y=8 and x+y=2

Question 887783: Solve the following systems graphically. Also show the work as to how you came to the answer so I can understand.
-x+3y=8 and x+y=2
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Solve the following systems graphically. 0
-x+3y=8 and x+y=2
:
Write both equation in the y = mx + b, slope intercept form,
-x + 3y = 8
add x to both sides
3y = x + 8
y has to have a coefficient of 1, divide both sides by 3
y = x +
:
x + y = 2
subtract x from both sides
y = -x + 2
:
Choose value for x and find y, make a table for each, I choose -2, +1 and +4
y = x +
x | y
-------
-2 |+2
+1 |+3
+4 | 4
Same for y = -x + 2
x | y
--------
-2 |+4
+1 |+1
+4 |-2
:
Plot these two graphs, should look like this

Red is the 1st equation, green is the 2nd
The solution is where they intersect at x=-.5, y=+2.5

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