SOLUTION: how do i solve this .5x-2y=4 and 4y-x=-8 by graphing them?

Question 256118: how do i solve this .5x-2y=4 and 4y-x=-8 by graphing them?
Found 2 solutions by richwmiller, solver91311:
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
If the lines cross there is a solution if they don't there isn't. If they are the same line all solutions are the same.
At leas they don't look like the same line.
Plug in some numbers for x and find y
Try y=0 and solve for x.
Try x=0 and solve for y
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Start with either one of the equations.

Step 1: Select a value for . It can be anything you want, but I suggest selecting a small integer. (in the case of your first equation, it will be convenient to select small multiples of 2)

Step 2: Substitute the selected value for in the equation, and then do the arithmetic to solve the equation for

Step 3: Create an ordered pair using the value of you selected in Step 1 and the value of you calculated in Step 2.

Step 4: Plot the ordered pair from Step 3 on your coordinate plane.

Step 5: Repeat Steps 1 through 4 once more using a different value for .

Step 6: Draw a line through the two plotted points.

Go back and repeat all 6 steps for the other equation but use the same set of coordinate axes to graph the second equation.

Once you have graphed both lines, see where they intersect. That is, if they intersect. If you end up with two separate lines that do not intersect, then your solution set is the empty set. If you end up with two lines that do intersect in one point, your solution set is the ordered pair representing that point of intersection. If you end up with one line right on top of the other, then your solution set is the set of ordered pairs that satisfies either of the two equations. Such a set has in infinite number of elements.

John

RELATED QUESTIONS
Solve by graphing: 2y-x=2 4y+8=5x (answered by Alan3354)
How do i solve by elimination? -x+2y=-10... (answered by nerdybill)
How do I solve this by graphing? 3x+2y=8 6x+4y=16 Thank you very... (answered by Alan3354)
How do you solve 2y=5x-1 and x=y+2? (Solve by graphing) How do you solve x=5 and... (answered by Alan3354)
how do i solve this by substitution: 5x+2y=9 (answered by josgarithmetic,stanbon)
Solve the system of equations by graphing. x−2y=8 x+2y=−4 How do I... (answered by Alan3354)
I need help with these problems, most of them do need to be graphed. I want to thank the (answered by Edwin McCravy)
May I have help with this problem? Solve the system by graphing: 5x + 4y =16 x- 2y (answered by MathLover1)
How do I Solve the system by graphing. 4x + 4y = 4 (answered by Nate)