1. What Are Linear Equations?

Linear equations are algebraic equations where each term is either a constant or the product of a constant and a single variable. They represent straight lines when graphed on a coordinate plane.

2. How the Solver Works

The calculator solves for x in the general linear equation:

The solution is calculated using:

Where:

• \( A \) — Coefficient of x
• \( B \) — Coefficient of y
• \( C \) — Constant term
• \( y \) — Given value of y

3. Practical Applications

Details: Linear equations are fundamental in physics, economics, engineering, and many other fields for modeling relationships between variables.

4. Using the Calculator

Tips: Enter all coefficients (A, B), the constant (C), and a value for y. A cannot be zero as it would make the equation undefined.

5. Frequently Asked Questions (FAQ)

Q1: What if A is zero?
A: The equation becomes undefined as division by zero is not possible. You'll get a horizontal line instead.

Q2: Can I solve for y instead?
A: Yes, you can rearrange the equation to \( y = (C - Ax)/B \) when B is not zero.

Q3: What if both A and B are zero?
A: Then it's not a valid linear equation. If C is also zero, it's an identity; otherwise, it's a contradiction.

Q4: Can this solve systems of equations?
A: No, this solves single equations. Systems require multiple equations and different methods.

Q5: How precise are the results?
A: Results are rounded to 4 decimal places for readability while maintaining reasonable precision.