Solving Simultaneous Equation

Solving two equations simultaneously means to find the common solution of both the equations, i.e., a solution which satisfies both the equations.
There are two methods used to find a solution: (a) Method of elimination (b) Method of substitution.

Example:
If one number is thrice the other and their sum is 60, find the numbers.
Suggested Answer:

Let the numbers be x and y.

x is 3 times y x = 3y …(1)

Sum of x and y is 60

x + y = 60 …(2)

Putting the value of x from (1) in (2), we get,

3y + y = 60

4y = 60 y = 15

Substituting y = 15 in (1), we get,

x = 3 x 15

= 45

The required numbers are 15 and 45.