Question

What is the solution to the system of linear equations?

Answer 1

the answer of your question is the third one :(3,1)

Answer 2

The answer is
`(x,y)=(3,1)`

Explanation:

Firstly, we have to eliminate a variable, x or y. It doesn't matter which one.

For that, we orderer the variables in the same way for both equations.

`-x+y=-2\\2*x+y=7`

Then, we need to have the same coefficient in the variable that we want to eliminate, but with different sign

Choosing the x variable:

`2*(-x+y)=2*(-2)\\-2*x+2*y=-4\\\\1*(2*x+y)=1*(7)\\2*x+y=7`

Then we add both equations:

`-2*x+2*y+2*x+y=-4+7\\3*y=3\\y=(3)/(3)\\ y=1`

Then we replace the value of "y" in whatever equation:

`-x+1=-2\\-x=-2-1\\-x=-3\\x=3`

Finally, the answer is
`(x,y)=(3,1)`