This app works on any combination of Decimals, Fractions and Mixed Numbers.
First, select either Fractions or Decimals calculation mode,
then enter the coefficients (A, B, C, A1, B1 and C1) in corresponding input boxes and click on [SOLVE] button to get a solution for X and Y.
The following rules apply:

If any of Text Boxes A, A1, B, or B1 are empty, system will assign 1 to corresponding coefficients.
If any of Text Boxes C or C1 are empty, system will assign 0.

SYSTEM OF LINEAR EQUATIONS

A_{1}X + B_{1}Y=C_{1} A_{2}X + B_{2}Y=C_{2}

Solution using Determinant (Det)

Det= A_{1}B_{2}-A_{2}B_{1} X = (B_{2}C_{1} - B_{1}C_{2})/Det y = (A_{1}C_{2} - A_{2}C_{1})/Det

If Det=0 there is no solution.
If C_{1}=C_{2}=0 then trivial solution: X = Y = 0.