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2x2 System of Linear Equations Solver

Solve a system of two linear equations in two unknowns using Cramer's rule or substitution. Ideal for algebra homework, engineering problems, and quick verification of hand calculations.

Equation 1: Coefficient of x

Equation 1: Coefficient of y

Equation 1: Constant

Equation 2: Coefficient of x

Equation 2: Coefficient of y

Equation 2: Constant

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Linear Algebra

2x2 Matrix Determinant Calculator

Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.

Element (1,1)

Element (1,2)

Element (2,1)

Element (2,2)

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Key differences

	2x2 System of Linear Equations Solver	2x2 Matrix Determinant Calculator
Category	Linear Algebra	Linear Algebra
Inputs required	6	4
Result	Solution for x	Determinant
What it does	Solve a system of two linear equations in two unknowns using Cramer's rule or substitution. Ideal for algebra homework, engineering problems, and quick verification of hand calculations.	Compute the determinant of a 2×2 matrix as a11·a22 − a12·a21. The result tells you whether the matrix is invertible and the signed area-scaling factor of the linear transformation it represents.