Understanding Linear Equations
Learn about linear equations and how to solve them.
What is a Linear Equation?
A linear equation is an equation where each term is either a constant or the product of a constant and a single variable raised to the power of 1.
Standard Form:
ax + b = c
where a, b, and c are constants, and a ≠ 0.
Solving Linear Equations
To solve a linear equation, we need to isolate the variable on one side of the equation.
Steps to solve ax + b = c:
- Subtract b from both sides: ax = c - b
- Divide both sides by a: x = (c - b) / a
Example
Solve: 2x + 3 = 7
Step 1: Subtract 3 from both sides
2x = 7 - 3
2x = 4
Step 2: Divide both sides by 2
x = 4 / 2
x = 2