Answer: x = 2 and y = - 4 or (2,-4)
Step-by-step explanation: 
- Subtract the x from both sides of the equation
 -  Now you have y = - x - 2 
 
- plug in - x - 2 into the other equation
 - Now you have y = 5x - 3 ( - x - 2) = 22
 - simplify that to 5x + 3x + 6 = 22
 - simplify that to 8x = 16
 - Now x = 2
 - plug in x as 2 into y + x = -2
 - Now y + 2 = -2
 - Subtract the 2 from both sides of the equation
 - Now you have y = - 4