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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

Fill in the required fields to see your result.

Linear Algebra

2x2 Matrix Determinant Calculator

Compute the determinant of any 2×2, 3×3, or 4×4 square matrix instantly. Use it to check invertibility, solve linear systems, or evaluate transformations in linear algebra.

Element (1,1)

Element (1,2)

Element (2,1)

Element (2,2)

Fill in the required fields to see your result.

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 any 2×2, 3×3, or 4×4 square matrix instantly. Use it to check invertibility, solve linear systems, or evaluate transformations in linear algebra.