SYSTEM OF EQUATIONS SOLVER

USAGE

Enter coefficients in input boxes - it could be any combination of Decimals, Fractions and Mixed Numbers, positive or negative, then click on [SOLVE] button to get a solution for X, Y as Fractions and equivalent Decimals. Following rules apply:

• If any of A1, A2, B1, or B2 are empty, system will assign 1
• If any of C1 or C2 are empty, system will assign 0

ABSTRACT

A₁X + B₁Y=C₁

A₂X + B₂Y=C₂

has a solution using Determinant (Det)

Det=  A₁B₂-A₂B₁
X = (B₂C₁ - B₁C₂)/Det
y = (A₁C₂ - A₂C₁)/Det

If Det=0 there is no solution.
If C₁=C₂=0 then trivial solution: X = Y = 0.