In(3x-y)=2 In6-In9 and (e^x)^2/e^y=e?

Question

solve the simultaneous equations
answer: x=3 , y=5

Answer 1

ln(3x-y) = 2*ln6 - ln9 = ln36 - ln9 = ln(36/9) = ln 4
Therefore, 3x-y = 4

(e^x)^2/e^y = e^(2x)/e^y = e^(2x-y) = e^1
Therefore, 2x-y = 1

Since y = 2x-1 => 3x-(2x-1) = 4 =>
x = 3
so
y = 5