Question 875432
Simplify the first equation, and then use substitution to solve the system.


6xy is the common denominator, which you should multiply both sides:
{{{6ay+6bx=3axy+2bxy}}}


Simpler second equation is also x=y-1, substitute into the first now simplified equation.
{{{6ay+6b(y-1)=3a(y-1)y+2b(y-1)y}}}
{{{6ay+6by-6b=3ay^2-3ay+2by^2-2by}}}
{{{3ay^2+2by^2-3ay-2by-6ay-6by+6b=0}}}
{{{3ay^2+2by^2-9ay-8by+6b=0}}}
{{{highlight_green((3a+2b)y^2-(9a+8b)y+6b=0)}}}, a quadratic equation in the variable, y, on which you can use the general solution for a quadratic equation.  Many symbols to write, and doing this is much more fast and comfortable on paper than by typing text onto this webpage.