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**Simultaneous
Linear Equations**

**Simultaneous linear equations**are a pair of linear equations having a unique solution. To understand about simultaneous linear equations let’s take an example related to our daily life.

The total cost of 2 kg sugar and 1 kg tea is Rs. 180
while the total cost of 1 kg sugar and 2 kg tea is Rs. 240. Find the rate of
each per kg.

Here, we need to find cost of 1 kg sugar as well as
cost of 1 kg tea.

Let
cost of 1 kg sugar be Rs. x

and
cost of 1 kg tea be Rs. y

The
cost of 2 kg sugar and 1 kg tea = Rs. 180

Therefore,

*2x + y = 180 …………….(i)*

Also,
the cost of 1 kg sugar and 2 kg tea = Rs. 240

Therefore,

*x + 2y = 240 …………….(ii)*

Here, x and y are two variables in each of a pair of
above linear equations. If we show them in a graph, each equation gives a
straight line and they intersect with each other at a unique point which gives
the values of x and y satisfying both the equations. Such a pair of linear
equations which satisfied by a unique solution are called simultaneous linear
equations.

There are 3 different methods of solving simultaneous
linear equations:

**iii.**

**Graphical Method**

*You can comment your questions or queries regarding simultanious linear equations here.*

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