SOLUTION: Can someone help me solve this? Solve the system by graphing both equations on the same axes. Give the ordered pair for the point of intersection. 4x+2y=-8 2x+y=-4

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: Can someone help me solve this? Solve the system by graphing both equations on the same axes. Give the ordered pair for the point of intersection. 4x+2y=-8 2x+y=-4      Log On


   

Question 789094: Can someone help me solve this?
Solve the system by graphing both equations on the same axes. Give the ordered pair for the point of intersection.
4x+2y=-8
2x+y=-4
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
Note: I can tell that the system , can be transformed into the equivalent equation 4x%2B2y=-8by multiplying both sides of the equal sign times 2. If a point is a solution of one equation, it is a solution of the other one. All the points in the line are intersection points and solutions.

To graph one line you need to plot two points and connect them with a straight line.
Using grid paper is recommended.
For 2x%2By=-4
Substituting x=0gives us y=-4 and we have the point (0,-4).
Substituting y=0gives us 2x=-4-->x=-2 and we have the point (-2,0).
For 4x%2B2y=-8,
we could substitute x=0 and y=0 to get
x=0-->2y=-8-->y=-4 for point (0,-4), and
y=0-->4x=-8-->x=-8%2F4-->x=-2 for point (-2,0)
The points are the same for both lines because both lines are the same.