SOLUTION: How do you solve system by graphing for example : 2x+4y=12 x+y=2

Question 680335: How do you solve system by graphing for example :
2x+4y=12
x+y=2
Answer by ReadingBoosters(3246) (Show Source): You can put this solution on YOUR website!
Set into y=mx+b format
...
2x+4y=12
4y = -2x + 12
y =

Graph the intercepts
y intercept is 3
Plot (0, 3)
x intercept is where y = 0
0 = (-1/2)x+3
-3 = (-1/2)x
-3(-2) = x
x=6
Plot (6, 0)
Draw a line through the intercepts
...
x+y=2

Graph the intercepts
y intercept is 2
Plot (0, 2)
x intercept is where y = 0
0 = -x + 2
-2 = -x
x = 2
Plot (2, 0)
Draw a line through the intercepts
...
...
Where the line cross is the solution for the system.
...

...
Algebraically,
set the lines equal to each other
-x + 2 = (-1/2)x + 3
(-x + (1/2)x = 3 - 2
(-1/2)x = 1
x = -2
...
Substitute x into either of the equations and solve for y
y = -x + 2
y = -(-2) + 2 = 2 + 2 = 4
y = 4
...
(-2,4) is the solution or point of intersection
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