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System of Equations Calculator

Math
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Solves a set of linear equations for the unknown variables.

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How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Coefficient of x in equation 1, Coefficient of y in equation 1, Constant term in equation 1, Coefficient of x in equation 2, Coefficient of y in equation 2, and Constant term in equation 2 in the units shown.

Step 2

Read Determinant, y, and x in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Coefficient of x in equation 1: 2; Coefficient of y in equation 1: 1; Constant term in equation 1: 5; Coefficient of x in equation 2: 1; Coefficient of y in equation 2: -1; Constant term in equation 2: 1

Determinant: -3; y: 1; x: 2

Example 2

Coefficient of x in equation 1: 3; Coefficient of y in equation 1: 2; Constant term in equation 1: 8; Coefficient of x in equation 2: 1; Coefficient of y in equation 2: -1; Constant term in equation 2: 1

Determinant: -5; y: 1; x: 2

Example 3

Coefficient of x in equation 1: 1; Coefficient of y in equation 1: 1; Constant term in equation 1: 4; Coefficient of x in equation 2: 2; Coefficient of y in equation 2: -1; Constant term in equation 2: 2

Determinant: -3; y: 2; x: 2

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