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System of Linear Equations Solver (2×2)

Solves a 2×2 system of linear equations (a₁x + b₁y = c₁ and a₂x + b₂y = c₂) using Cramer's Rule. Use it to find the exact point where two straight lines intersect.

First equation coefficient of x

First equation coefficient of y

First equation constant

Second equation coefficient of x

Second equation coefficient of y

Second equation constant

Fill in the required fields to see your result.

Algebra

System of Linear Equations Solver

Solve a system of two linear equations in two unknowns (x and y) using Cramer's Rule. Use it when you need exact solutions to simultaneous equations in algebra, physics, or engineering problems.

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.

Key differences

	System of Linear Equations Solver (2×2)	System of Linear Equations Solver
Category	Algebra	Algebra
Inputs required	6	6
Result	Solution for x	Solution (x, y)
What it does	Solves a 2×2 system of linear equations (a₁x + b₁y = c₁ and a₂x + b₂y = c₂) using Cramer's Rule. Use it to find the exact point where two straight lines intersect.	Solve a system of two linear equations in two unknowns (x and y) using Cramer's Rule. Use it when you need exact solutions to simultaneous equations in algebra, physics, or engineering problems.