Question 14200
Suppose: x=1/4c and y=1/3d

Such we get the equations:
x+2y=6 ........(1)
3x-5y=-4 ......(2)

Use elimination method:
x+2y=6 --------------->multiply with 3
3x-5y=-4
---------------------------------------------
3x+6y=18 
3x-5y=-4
-------- -
11y=22
y=22/11=2

Substitute y = 2 to (1):
x+2y=6
x+2(2)=6
x+4=6
x=6-4
x=2

Substitute x=2 to x=1/4c:
x=1/4c
{{{2=1/4c}}}
{{{2*4c=1}}}
{{{8c=1}}}
{{{c=1/8}}}

Substitute y=2 to y=1/3d:
y=1/3d
{{{2=1/3d}}}
{{{2*3d=1}}}
{{{6d=1}}}
{{{d=1/6}}}

Thus, {{{c=1/8}}} and {{{d=1/6}}}

OK