SOLUTION: how can i solve the system by graphing. x + y = 4 –x + y = 2

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: how can i solve the system by graphing. x + y = 4 –x + y = 2       Log On


   

Question 60896: how can i solve the system by graphing.
x + y = 4
–x + y = 2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
how can i solve the system by graphing.
E1: x + y = 4
E2: –x + y = 2
:
For E1, let x=0 and y=?
0+y=4
y=4 Plot (0,4)
Now let y=0 and x=?
x+0=4
x=4 Plot (4,0)
Connect your points and you have this line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%2B4%29
For E2, let x=0 and y=?
-0+y=2
y=2 Plot (0,2)
Now let y=0 and x=?
-x+0=2
-x/-1=2/-1
x=-2 Plot (-2,0)
Connect these points and you have a second line.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C-x%2B4%2Cx%2B2%29
The solution is their point of intersection: (1,3)
Happy Calculating!!!