Answer
(34,27)
Work Step by Step
We have two equations: x-7=y and 2x-y=41. Substitute the first equation into the second equation:
2x-(x-7)=41 -distribute-
2x-x+7=41 -simplify like terms-
x+7=41 -subtract 7 from both sides-
x=34
Plug in x=34 into one of the equations:
2(34)-y=41 -distribute-
68-y=41 -subtract 68 from both sides-
-y=-27 -->divide both sides by -1
y=27
Check your work by plugging in x=34 and y=27 into one of the equations:
34-7=27
27=27
The solution is (34,27)
