Solve Systems of Equations - Calculator






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, f and the number of decimal places in the results as real number and press "enter".

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.

a = b = c =
d = e = f =
Decimal Places =
x = y =

Below is a 3 by 3 system of linear equations solver where the system is of the form

a x + b y + c z = k

d x + e y + f z = l

g x + h y + i z = m

a = b = c = k =
d = e = f = l =
g = h = i = m =
Decimal Places =
x = y = z =


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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Updated: 2 April 2013

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