Whats the answer to this algebra 2 problem?

Question

its says solve the system using any algebraic method...

-x + 5y = 17

2x - 10y = -34

Answer 1

The two equations are for the same line; they are equal to each other; the first one with all terms multiplied by -2 is the second equation.

Therefore there are infinite solutions; the equations represent the same line.

Answer 2

Multiply top equation by -2: 2x - 10y = -34. Hm, you have the same formula, so they must be linearly dependent. That means there is no unique solution to these (they are the same thing, expressed differently). So solve either one for one variable in terms of the other (you get the same answer): -x+5y=17 ---> x = 5y-17. That is the answer. For any y you give, this will make both true!

Happy solving!