Q. 94.0( 6 Votes )

Solve for x and y:

4x - 3y = 8,

Answer :

We have,

4x – 3y = 8 …eq.1


…eq.2


Let us first simplify eq.2 by taking LCM of denominator,


Eq.2


18x – 3y = 29 …eq.3


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


And it is so that the equations 1 & 3 have variable y having same coefficient already, so we need not multiply or divide it with any number.


Recalling equations 1 & 3,


4x – 3y = 8


18x – 3y = 29


4x – 3y = 8


18x – 3y = 29


On solving the above equations we get,


- 14x = - 21




Substitute in eq.1/eq.3, as per convenience of solving.


Thus, substituting in eq.1, we get


4 – 3y = 8


6 – 3y = 8


3y = 6 – 8


3y = - 2



Hence, we have and


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