5x - y = 2 > 5y - x = 2
5y = 2 + x > y = 2/5 + x/5
INVERSE IS : f^-1 (x) = 2/5 + x/5
Also, you made a mistake when subtracting 5x from both sides - you also subtracted 5 from 2 to get -3. 5x and 2 aren't like terms though.
With an equation like yours with 2 or more variables (in this case x and y) you can't solve them with the help of only 1 equation. The furthest you can get is
or ]]>so like this
y = 2 - 5x
or i did...
5x - y = 2
subtract 5x both sides
y = -3
5x - (-3) = 2
5x + 3 = 2
subtract 3 both sides
5x = -1
x = -0.2
put the value in both are correct...
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