Posted by **Anonymous** on Wednesday, March 6, 2013 at 2:51pm.

two systems of equations are given below for each system, choose the best description of it solution.

1) the system has no solution

2) the system has a unique solution

3) the system has a infinitity many solutions. they must satisfy the following equation

x+4y=8

-x-4y=-8

-x-2y=4

x+2y=4

- math -
**Dr. Jane**, Wednesday, March 6, 2013 at 3:36pm
If you add the first two equations, you will get 0 = 0

Any time you have a situation when the variables disappear and you end up with a true statement, there are an infinite number of solutions. Whatever (x,y) works in one equation will also work in the other.

The second set adds to 0 = 8

This is false which means there are no solutions. You cannot find an (x,y) that will work in both equations.

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