Linear Equation Solver

Solve equations of the form ax + b = c with ease. Just enter the values for a, b, and c to find x.

Coefficient of x (a):

Constant term (b):

Result constant (c):

Equation Preview:

Solution:

Understanding Linear Equations

A linear equation in the form ax + b = c represents a straight line when graphed. Solving for 'x' means finding the point on the x-axis where this line intersects a certain y-value implicitly defined by the equation.

If a ≠ 0: There is a unique solution for x, calculated as x = (c - b) / a.
If a = 0 and b = c: The equation becomes 0x + b = b, which is always true. Thus, there are infinitely many solutions.
If a = 0 and b ≠ c: The equation becomes 0x + b = c, which is never true because b is not equal to c. Thus, there is no solution.

This solver helps you quickly find the value of 'x' for any given linear equation parameters a, b, and c.

What is a Linear Equation?

A linear equation is a mathematical equation of the form ax + b = c, where 'x' is a variable, and 'a', 'b', and 'c' are constants. The term "linear" comes from the fact that the graph of such an equation is always a straight line.

Linear equations are fundamental in mathematics and have wide applications in various fields like physics, engineering, economics, and computer science. They are used to model relationships between quantities that change at a constant rate.

Examples:

2x + 3 = 7 (Here, a=2, b=3, c=7)
5 - x = 1 (Here, a=-1, b=5, c=1)
3x = 9 (Here, a=3, b=0, c=9)