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Two online calculators and solvers for systems of 2 by 2 and 3 by 3 linear equations.
2 by 2 systems of linear equations are of the form
a x + b y = c
d x + e y = f
The calculator uses Cramer's rule
x = (c e - f b) / D and y = (a f - d c) / D
to solve the system.
D is the coefficient determinant given by D = a e - b d.
How to use the calculator
1 - Enter the coefficients a,b,c,d,e and f as real number and press "enter". If by mistake characters other than numbers are entered, the calculator does give any answer.
This tool can be used to check the solutions of a 2 by 2 system of equations solved by hand. It can also be used, efficiently, to explore 2 by 2 system of equations.
Below is an applet that solves 3 by 3 systems of linear equations of the form
a x + b y + c z = k
d x + e y + f z = l
g x + h y + i z = m
More Math Calculators and Solvers.
More references on solving systems of linear equations
Solve Systems of Equations - Tutorial.
Cramer's Rule to Solve Systems of Equations.
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