Solving Linear Equations Tutorial
math tutorials > linear equations
An algebraic equation contains at least one variable (e.g. x, y or z) and an equal sign.
In a linear equation the variable has a power of 1.
To solve a linear equation you need to find the value of the variable which makes the equation true.
Solving difficult linear equations.
- When an operation is performed on one side of the equation, the same operation must be performed on the other side of the equation.
- Start with the numbers furthest from the variable, and work towards
the variable.
- The equation may need to be rearranged to have all the variables
on one side of the equal sign and all the numbers on the other.
- Check your solution by substituting your answer into the equation.
For you to try.
1. –3x + 5 = 41
2. 7x – 8 = 20
3. 4x – 5 = x + 10
Solutions: 1. x = -12 2. x = 4 3. x = 5
Things to remember.
Rules for multiplying and dividing integers apply. When multiplying or dividing a pair of numbers, like signs (+ and +, or – and - ) give a positive answer and unlike signs (+ and -) give a negative answer.