SOLUTION: solve the system by graphing. x+2y=4 x+2y=-2

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Question 56679: solve the system by graphing.
x+2y=4
x+2y=-2
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
solve the system by graphing.
L1) x+2y=4
L2) x+2y=-2
For L1)
Let x=0 and solve for y(this is the y-intercept)
(0)+2y=4
2y=4
2y/2=4/2
y=2
Plot (0,2)
Let y=0 and solve for x, (this is the x-intercept)
x+2(0)=4
x=4
Plot (4,0)
Connect the dots and you have a line that looks like:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%2B4%29%2F2%29
For L2)
Let x=0 and solve for y:
(0)+2y=-2
2y=-2
2y/2=-2/2
y=-1
Plot (0,-1)
Let y=0 and solve for x:
x+2(0)=-2
x=-2
Plot (-2,0)
Connect the dots and you have a second line:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2C%28-x%2B4%29%2F2%2C%28-x-2%29%2F2%29
These lines are parallel and never intersect. They have no solution.
Happy Calculating!!!