Two Variable Linear Solver

Two Variable Linear Solver lets you cramer’s rule solves two independent simultaneous linear equations. Enter your own values or load the worked example.

Method and calculation

Cramer’s rule solves two independent simultaneous linear equations.

Inputs and settings

Two Variable Linear Solver accepts a in ax+by=e (signed value); b (signed value); e (signed value); c in cx+dy=f (signed value); d (signed value); f (signed value).

Worked example

Two Variable Linear Solver example — a in ax+by=e: 2; b: 3; e: 13; c in cx+dy=f: 1; d: -1; f: -1. Computed output: { "x": 2, "y": 3 }

Output and limitations

Two Variable Linear Solver: Use finite inputs. Results use double-precision arithmetic.

Technical references: JavaScript numerical operations

Two Variable Linear Solver FAQs

Two Variable Linear Solver applies the following rule to your input: Cramer’s rule solves two independent simultaneous linear equations. The worked example on this page uses the same processor as the result button.
Two Variable Linear Solver has these boundaries: Use finite inputs. Results use double-precision arithmetic. Start by checking the a in ax+by=e field against the units or format shown.
Two Variable Linear Solver provides this sample: { "x": 2, "y": 3 }. Use the sample button to reproduce it, then replace the inputs with your own values.