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X
5.000000
公式
## How to Solve a Linear Equation ### Formula Given **ax + b = c**, solve for x: **x = (c - b) / a** 1. Subtract b from both sides: ax = c - b 2. Divide both sides by a: x = (c - b) / a This works for any linear equation with a single unknown, as long as a is not zero.
计算示例
Solve 3x + 7 = 22.
- 013x + 7 = 22
- 023x = 22 - 7 = 15
- 03x = 15 / 3 = 5
常见问题
What is a linear equation?
A linear equation is an equation where the variable appears only to the first power (no squares, cubes, etc.). Its graph is a straight line.
What happens if a equals zero?
If a = 0, the equation becomes b = c, which is either always true (if b = c) or has no solution (if b ≠ c). There is no variable to solve for.
Can a linear equation have more than one solution?
A standard linear equation in one variable has exactly one solution (when a ≠ 0). Systems of equations can have zero, one, or infinitely many solutions.
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