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

Algebra.Com
Question 56679: solve the system by graphing.
x+2y=4
x+2y=-2

Answer by funmath(2933)   (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:

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:

These lines are parallel and never intersect. They have no solution.
Happy Calculating!!!

RELATED QUESTIONS

Solve the system by graphing. x+2y=4 x+2y=-2 (answered by funmath)
Solve the system by graphing. x + 2y = 4 x + 2y = –2 (answered by praseenakos@yahoo.com)
Solve the system by graphing. x + 2y = 4 x + 2y = –2 (answered by MathLover1)
Solve the system by graphing. x + 2y = 4 x + 2y = –2 (answered by stanbon,Kelsie)
Solve the system by graphing. x + 2y = 4 x + 2y = –2 Please help with this... (answered by jim_thompson5910,stanbon)
Solve the system of equations by graphing x-2y=-4,... (answered by Fombitz)
Solve the following system of equations by graphing x-2y=-4... (answered by fractalier)
i need to solve the system of equations by graphing x-2y= -2 x+2y=... (answered by checkley75)
solve the system of equations by graphing x-2y=10... (answered by jim_thompson5910)