Answer :

We have

0.4x + 0.3y = 1.7


0.7x – 0.2y = 0.8


Lets simplify these equations. We can rewrite them as,



4x + 3y = 17 …eq.1



7x – 2y = 8 …eq.2


To solve these equations, we need to make one of the variables (in both the equations) have same coefficient.


Lets multiply eq.1 by 2 & eq.2 by 3, so that variable y in both the equations have same coefficient.


Recalling equations 1 & 2,


4x + 3y = 17 , on multiplying equation with 2


7x – 2y = 8 , on multiplying equation with 3


We get,


8x + 6y = 34


21x – 6y = 24


On solving the equation, we get,


x = 2


Substitute x = 2 in eq.1/eq.2, as per convenience of solving.


Thus, substituting in eq.2, we get


7(2) – 2y = 8


14 – 2y = 8


2y = 14 – 8


2y = 6


y = 3


Hence, we have x = 2 and y = 3.


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