Question 55338
 {{{x/4 - y/3 = -3/4}}}
:
Mult the equation by a common denominator, in this case it would be 12
{{{(12)x/4 - (12)y/3 = -(12)3/4}}}
Resulting in:
3x - 4y = -9
:
We do the same with:
{{{x/2 - y/3 = -1/2}}}
:
The common denominator would be 6 here:
{{{(6)x/2 - (6)y/3 = -(6)1/2}}}
Resulting in:
3x - 2y = -3
:
:
These two equations can easily be solved using the elimination method:
3x - 4y = - 9
3x - 2y = - 3
--------------  subtract
0x - 2y = -6
      y = -6/-2
      y = +3
:
Substitute 3 for y in the 1st equation to find x:
3x - 4(3) = - 9
3x - 12   = -9
      3x = -9 + 12
      3x = +3
       x = +1
:
It's a good idea to substitute for x and y in one of the original equations:
{{{x/4 - y/3 = -3/4}}}
:
{{{1/4 - 3/3 = -3/4}}}
:
{{{1/4 - 1 = -3/4}}}
:
Equality reigns!