Linear Equation Solver

Solve for variables algebraically and graphically.

x + =

Equation: ax + b = c

Error

Graph

Methods & Formulas

To isolate x, we first move the constant term b to the right side, then divide by the coefficient a.

x = (c - b) / a

If a is 0, and b ≠ c, there is no solution.

For a system of equations, we calculate the Determinant (D). If D is 0, the lines are parallel.

D = a 1 b 2 - a 2 b 1

If D ≠ 0:

x = (c 1 b 2 - c 2 b 1) / D y = (a 1 c 2 - a 2 c 1) / D