How to solve this equation using elimination

5x-3y-11 = 0
3x + 10y + 17 =0

I don't see how I can get rid of any variable

5x - 3y - 11 = 0
3x + 10y + 17 = 0

Multiply the first equation by 3 (multiply each term on each side by 3), to get:
15x - 9y - 33 = 0

Multiply the second equation by 5 to get:
15x + 50y + 85 = 0

Now subtract either equation from the other. I'll subtract the first from the second, to get:
0x + 59y + 118 = 0
59y = -118 by subtracting 118 from each side
y = -118/59 by dividing each side by 59
y = -2

Now substitute -2 for y in either of the original equations to find x.

Multiply the first equation by -3 and the second one by 5


-15x + 9y +33 =0
15x + 50y + 85 = 0
-------------------------- <----------add
59y + 118 =0

59y = -118 ==> y = -118/59 = -2

Use one of the equations to find x

3x + 10y +17 =0
3x -20 + 17 =0
3x = 3
x = 1