Question 708836
Numbers x and y.


The initial translation into symbols giving two equations:
{{{x+y=22}}}
{{{(3/4)x+(1/5)y=11}}}


Multiply both members of the fraction equation by 4*5.
15x+4y=220


System to solve is this one:
{{{15x+4y=220}}}
{{{x+y=22}}}


Subract four times the second from the first and solve for x value.
{{{15x+4y-4x-4y=220-88}}}
simplification of that
{{{11x+0=132}}}
{{{x=132/11}}}
{{{highlight(x=12)}}}.


Now, find y.