Question 919064
Rates as jobs per hour:
First, {{{1/x}}} 
Second, {{{1/y}}}.
Both together, {{{highlight_green(1/x+1/y=1/6)}}}


The details of the job being done yield, according RT=J rate time job,
{{{highlight_green((1/x+1/y)3+(1/y)4=1)}}};


The green-outlined equations are the system to solve for x and y.  Algebraic arithmetic steps needed to solve the system.


A substitution can be made to begin.
The second equation becomes, using substitution,
{{{(1/6)3+(1/y)4=1}}}, containing just one single unknown variable.


The other tutor already provided complete arithmetic steps; only that variable assignments were switched compared to mine.