Question

Determine the solution to the following system of equations: 2x+4y=-12 x+2y=-2

Answer 1

Answer: The answer is no solution.

Explanation:

First you want to isolate x.

x=-2(y+3)

Then you substitute.

[-2(y+3)+2y=-2]

Then you refine.

-4=0

As you can see -4 isn't equal to 0, therefore this system is false. Which is where we get the answer no solution.

Answer 2

undefined/no solution

Explanation:

you use elimination to solve. So multiply 2x+4y=-12 by 1 and x+2y=-2 by 2. then you subtract 2x+4y=-12 by 2x+4y=-4 and get 0y=-8. Anything divided by 0 is undefined/no solution because you can't divide anything by 0.