how do you solve a linear system using the subtraction method for x+y=-3 , 3x+y=3

Answer 1

2x + y = 3

x+y = -3

Subtracting will cause the variable y to cancel:

2x - x = 3 - -3

x = 3 - -3

x = 3 + 3

x = 6

So then per 2nd equation 6 + y = -3

y = -3 - 6 = -9

Solution is (6,-9)