Algebra Solver
Solve linear equations of the form Ax + B = C.
Linear Equation (Ax + B = C)
Solving Linear Equations
A linear equation is an equation for a straight line. The general form is Ax + B = C, where A, B, and C are constants, and x is the variable.
Formula:
Steps to solve Ax + B = C for x:
- Subtract B from both sides: Ax = C - B
- Divide both sides by A: x = (C - B) / A
Example Linear Equations
| Equation | A | B | C | Solution (x) |
|---|---|---|---|---|
| 2x + 5 = 15 | 2 | 5 | 15 | 5 |
| 3x - 7 = 8 | 3 | -7 | 8 | 5 |
| -4x + 10 = 2 | -4 | 10 | 2 | 2 |
| x + 3 = 7 | 1 | 3 | 7 | 4 |
Frequently Asked Questions
What is a linear equation?
A linear equation is an algebraic equation in which each term has an exponent of 1 and the graphing of the equation results in a straight line. It typically involves one or more variables.
How do you solve a linear equation with one variable?
To solve a linear equation with one variable, the goal is to isolate the variable on one side of the equation. This is done by applying inverse operations (addition/subtraction, multiplication/division) to both sides of the equation, maintaining equality.
What is the purpose of an algebra solver?
An algebra solver helps users find the value(s) of unknown variables in algebraic equations. It can be used for checking homework, understanding solution steps, or quickly solving equations for practical applications.