Linear Equation Solver
Solve equations of the form $ax + b = c$ instantly. This tool isolates the variable $x$ and provides the exact value using basic algebraic properties.
x +
=
The Value of $x$ is
0
The Steps of Solving
To solve the equation $ax + b = c$, we follow two main steps to isolate $x$:
- Subtraction: We subtract $b$ from both sides to get $ax = c - b$.
- Division: We divide both sides by $a$ to get $x = \frac{c - b}{a}$.
This calculator performs these operations automatically, giving you the result in seconds.
Frequently Asked Questions
What if 'a' is zero? +
If $a = 0$, the equation becomes $0x + b = c$, or simply $b = c$. This is no longer a linear equation. If $b$ equals $c$, there are infinite solutions; if not, there is no solution. The calculator requires $a$ to be non-zero.
Can I use negative numbers? +
Yes. You can enter negative values for $a$, $b$, and $c$. For example, if your equation is $2x - 5 = 10$, you would enter $2$ for $a$, $-5$ for $b$, and $10$ for $c$.
What does "Linear" mean? +
In mathematics, "linear" means the variable ($x$) has an exponent of 1. Graphically, these equations always represent a straight line.
How do I check my answer? +
To check your result, multiply it by $a$ and add $b$. If the sum equals $c$, your answer is correct!
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