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Equation# 1 : x + y = 12
Equation# 2:
-x = -y - 10
x = y + 10 ; multiply the equation# 2 with -1
Now, we know that x is y + 10
Then, replace that x in equation#1
x + y = 12
(y+10) + y = 12 ;replace x with y + 10
y + 10 + y = 12
2y + 10 = 12
2y = 12 - 10
2y = 2
y = 2/2
y = 1
Now, we know that y is 1. Then replace y in equation# 1
x + y = 12
x + (1) = 12 ; replace y with 1
x + 1 = 12
x = 12 - 1
x = 11
The answer is x = 11 and y = 1.