Question

What is the solution to the system of linear equations?

Answer 1

Answer:

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

Step-by-step 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:

$-2*x+2*y+2*x+y=-4+7\\3*y=3\\y=\frac{3}{3}\\ y=1$

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

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

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

Answer 2

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