Row reduction question

Question

Solve the system by row reduction.

- 15x - 2y = - 7

10x + 2y = 7

How would I go about solving this?

Answer 1

x=0, y = 7/2= 3.5

-15 -2 -7

10 2 7

add the two rows

-5 0 0

10 2 7

multipl 1st row by 2 and add to last row

-5 0 0

0 2 7

divide 1st row by -5

and divide 2nd row by 2

1 0 0

0 1 7/2

x + 0 = 0

x = 0

0 + y = 7/2

y = 7/2