Format: ax + b = c (supports any single variable)
Single: ax + b = c
Solution: x = (c - b) / a
System (2×2):
a₁x + b₁y = c₁
a₂x + b₂y = c₂
A linear equation is an algebraic equation in which each term is either a constant or the product of a constant and a single variable raised to the first power. Linear equations form straight lines when graphed on a coordinate plane. The general form of a linear equation in one variable is ax + b = c, where a, b, and c are constants and x is the variable.
Systems of linear equations involve two or more equations with two or more variables. The solution to a system is the set of values that satisfy all equations simultaneously. Systems can have exactly one solution (intersecting lines), infinitely many solutions (same line), or no solution (parallel lines).
For single equations: Enter your equation in the format "ax + b = c". For example, "2x + 5 = 15" or "3y - 7 = 20". The calculator will isolate the variable and provide the solution with step-by-step explanations.
For systems of equations: Enter 2-4 equations using variables x, y, z, and w. Each equation should be in the form "ax + by = c". Select your preferred solution method (Elimination, Substitution, or Matrix) and the calculator will find the values that satisfy all equations or identify if the system has infinite or no solutions.
Disclaimer: This linear equation solver provides solutions based on standard algebraic methods. Results depend on the validity and structure of the entered equations. Always verify solutions by substituting back into the original equations.