Question

Using 2x2 elimination
-5x+10y=-15
-9x-3y=-6

Answer 1

-5x+10y=-15

-9x-3y=-6

-x+2y=-3 (simplified by 5)

-9x-3y=-6

per elimination as requested:

3(-x+2y)=-3

2(-9x-3y)=-6

-3x+6y=-9

-18x-6y=-12

-21x=-21

x=21/21=1

we calculate y:

-9x-3y=-6

-9-3y=6

-3y=-6+9

-3y=3

y= -3/3=-1

solution (1;-1)