Equation

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
  • x2 + 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