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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

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Algebra

2x2 System of Equations Solver

Solve a 2×2 system of linear equations in the form a₁x + b₁y = c₁ and a₂x + b₂y = c₂ using Cramer's rule. Returns the x-coordinate of the intersection of the two lines; foundational for any problem with two unknowns and two constraints.

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Key differences

	System of Linear Equations Solver	2x2 System of Equations Solver
Category	Algebra	Algebra
Inputs required	6	6
Result	Solution (x, y)	Solution for x
What it does	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.	Solve a 2×2 system of linear equations in the form a₁x + b₁y = c₁ and a₂x + b₂y = c₂ using Cramer's rule. Returns the x-coordinate of the intersection of the two lines; foundational for any problem with two unknowns and two constraints.