10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank MCQs - Pair of Linear Equations in Two Variables

The solution of equations \[\text{2x}+\text{y}-\text{6}=0\]and \[\text{4x}-\text{2y}-\text{4}=0\]is:

A) \[(2,4)\]

B) \[(4,2)\]

C) \[(-2,2)\]

D) \[(2,2)\]

Correct Answer: D

Solution :

[d] Given, \[2x+y-6=0\]and \[4x-2y-4=0\]

or \[y=6-2x\]and \[2x-2=y\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,6-2x=2x-2\,\,\Rightarrow \,\,4x=8\Rightarrow x=2\]

and \[y=6-2\times 2=6-4=2\]

So, required solution is \[(2,2)\].