1. Multiply the second equation by 2

3x + 2y = -21

5x - y = -22

-->

3x + 2y = -21

10x - 2y = -44

2. Make it just one equation by solving the simultaneous equation

13x +2y - 2y = -65

13x = -65

3. Solve for x and y

13x = -65

x = -65/13

x = -5

Substitute into equation

5(-5) - y = -22

-25 - y = -22

-y = 3

y = -3

Overall:

x = -5

y = -3