Solving a Simple Linear Equation
A simple linear equation looks like ax + b = c, where x is the variable you want to solve for. The goal is to isolate x on one side.
Steps to Solve:
- Move constants to the other side:
- Divide by the coefficient:
- Subtract
3from both sides: - Divide by
2: - Always undo operations step-by-step to isolate
x. - Check by plugging your solution back into the original equation.
Subtract/add numbers so that only x remains on one side.
If x has a number multiplied with it (a), divide both sides by this number.
Example:
Solve 2x + 3 = 11
2x + 3 - 3 = 11 - 3
2x = 8
2x / 2 = 8 / 2
x = 4
Takeaways: