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Linear equations are also called first degree equations, as
the highest power of the variable (or pronumeral) in these equations is 1.
E.g. x + 5 = 9 is an equation of the first degree, which is
often called a linear equation.
Many problems can be solved by using linear equations.
Recall that:
Equations behave like a balance. So we need to apply the same operation
to both sides of an equation to maintain the balance. This means we can:
- add the same number to both sides of an equation
- subtract the same number from both sides of an equation
- multiply both sides of an equation by the same number
- divide both sides of an equation by the same number
Equations Involving One Operation
Example 1
Solution:
Note:
We can check the solution as follows:
So, our solution, x = 5, is correct.
Example 2
Solution:
Check:
So, our solution, x = 10, is correct.
Example 3
Solution:
Check:
So, our solution, x = 3, is correct.
Example 4
Solution:
Check:
So, our solution, x = 15, is correct.
Key Terms
linear equations, first degree equations,
operation
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