Solve a system of two linear equations

Solve two equations in two unknowns using Cramer's rule.

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Inputs

a₁ (eq 1 x coeff)

b₁ (eq 1 y coeff)

c₁ (eq 1 constant)

a₂ (eq 2 x coeff)

b₂ (eq 2 y coeff)

c₂ (eq 2 constant)

Results update when you click Solve.

Solution (x, y)

(2.0000, 1.0000)

2.0000x + 1.0000y = 5.0000; 1.0000x + -1.0000y = 1.0000

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Solve two equations in two unknowns using Cramer's rule. Cramer's rule on the 2×2 determinant a₁b₂ − a₂b₁.

Cramer's rule on the 2×2 determinant a₁b₂ − a₂b₁.

2x + y = 5, x − y = 1 → (2, 1).

Three variables?+

This tool handles two equations in x and y only.