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Algebra
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.
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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
| 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. |