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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

Polynomial Synthetic Division Calculator

Divides a polynomial by a linear factor (x − r) using synthetic division, returning the quotient coefficients and remainder. Use it to quickly test roots or factor higher-degree polynomials without long division.

Highest Degree Coefficient

Second Highest Coefficient

Third Coefficient

Constant Term

Divisor Root (for x - r)

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Key differences

	System of Linear Equations Solver (2×2)	Polynomial Synthetic Division Calculator
Category	Algebra	Algebra
Inputs required	6	5
Result	Solution for x	Remainder
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.	Divides a polynomial by a linear factor (x − r) using synthetic division, returning the quotient coefficients and remainder. Use it to quickly test roots or factor higher-degree polynomials without long division.