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A + B = 67
A - B = 17
__________
A + A + B - B = 67 +17
2A = 84
A = 42 por lo tanto A= 42
entonces : B= 25
A + B = 67
42 + B = 67
B = 67 - 42
B= 25
x-y=17 /
_______
-x-y=-67 /
x-y=17 /
se eliminan las "x" y queda
-2y= -50
y= -50/-2
y=25
___________________
x+25=67
x=67-25
x=42
____________
para comprobar
42-25= 67
67=67
42-25=17
17=17
espero que te sirva!!