Equation
An equation is a mathematical formula containing an equals sign, to show that two expressions are equal.
The word equation and its cognates in other languages may have subtly different meanings;
for example, in French, in Estonian etc an equation is defined as containing one or more variables.
In English, any well-formed formula consisting of two expressions related with an equals sign is an equation.
Examples:
- 3 + 6 = 9
- x + 6 = 9
- 4x = 12
- x^{2} + 2x – 3 = 0
Solving the simple equation
x + a = b
x = b – a |
x – a = b
x= b + a |
a – x = b
x = a – b |
Examples: |
x + 2 = 8
x = 8 – 2 x = 6 |
x – 2 = 6
x= 6 + 2 x = 8 |
8 – x = 6
x = 8 – 6 x = 2 |
x * a = b
x = b : a |
x : a = b
x= b * a |
a : x = b
x = a : b |
Examples: |
x * 2 = 8
x = 8 : 2 x = 4 |
x : 2 = 6
x= 6 * 2 x = 12 |
48 : x = 6
x = 48 : 6 x = 8 |