2.10: Logarithmic equations reducing to linear form

0606/23/O/N/17 — Question 4 · 5 marks

Solve the simultaneous equations
log⁡3(x+1)=1+log⁡3y,\log_{3}(x + 1) = 1 + \log_{3} y,log⁡3(x−y)=2.\log_{3}(x - y) = 2.
[5]