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Linear Equation Solver

Solve any single-variable linear equation of the form ax + b = 0 for the unknown x. The simplest non-trivial equation in algebra, this is the building block for systems of equations, slope-intercept lines, and almost every applied modelling problem.

Coefficient a

Constant b

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.

Key differences

	Linear Equation Solver	2x2 System of Equations Solver
Category	Algebra	Algebra
Inputs required	2	6
Result	Solution (x)	Solution for x
What it does	Solve any single-variable linear equation of the form ax + b = 0 for the unknown x. The simplest non-trivial equation in algebra, this is the building block for systems of equations, slope-intercept lines, and almost every applied modelling problem.	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.