Systems of Equations

Practice solving systems of equations with multiple variables.

Choose a System to Solve:

Basic Two-Variable System

A simple system with two variables and two equations.

x + y = 102x - y = 5
Beginner

Intermediate Two-Variable System

A system with two variables and fractional coefficients.

3x + 2y = 74x - 3y = 8
Easy

Advanced Three-Variable System

A more complex system with three variables and three equations.

x + y + z = 62x - y + z = 33x + y - 2z = 5
Intermediate

Complex Three-Variable System

A challenging system with three variables and non-integer solutions.

2x - y + 3z = 93x + 2y - z = 8x + 3y + 2z = 9
Advanced

Expert Four-Variable System

A very challenging system with four variables and four equations.

w + x + y + z = 102w - x + y - z = -1w + 2x - y + z = 63w - 2x + 2y - 3z = -7
Expert