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
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questions or queries regarding simultanious linear equations here.
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