CALCULATOR
Solve x in a x + b y = p, −b x + d y = q Calculator
Solve x in a x + b y = p, −b x + d y = q. Example: A: 2 number, B: 1 number, D: 3 number, P: 7 number, Q: 4 number gives 2.42857142857 number. Only structured nonsingular real 2×2 system; selected x output, y shown as supporting context. Original useful product scope; historical catalog title does not grant missing modes or source parity.
Only structured nonsingular real 2×2 system; selected x output, y shown as supporting context. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Replace first coefficient column with RHS and divide its determinant by original determinant.
Accepted inputs: A: 0.1 to 100 number; B: -100 to 100 number; D: 0.1 to 100 number; P: -100 to 100 number; Q: -100 to 100 number.
How the calculation works
x=(pd-bq)/(ad+b²)
Worked example
With a 2 number, b 1 number, d 3 number, p 7 number, q 4 number, solve x in a x + b y = p, −b x + d y = q is 2.428571429 number.
Assumptions and limits
Only structured nonsingular real 2×2 system; selected x output, y shown as supporting context. Original useful product scope; historical catalog title does not grant missing modes or source parity. Derivation: Replace first coefficient column with RHS and divide its determinant by original determinant.