10th Class Mathematics Pair of Linear Equations in Two Variables Question Bank Case Based (MCQs) - Pair of Linear Equations in Two Variables

The intersection point of two lines is:

A) \[(-4,-2)\]

B) \[(4,3)\]

C) \[(2,4)\]

D) \[(4,2)\]

Correct Answer: D

Solution :

Put \[x=2y\] in eq. (2), we get

\[3(2y)+4y=20\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,10y=20\]

\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,y=2\]

\[\therefore \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,x=2\times 2=4\]

Hence, intersection point of two lines is\[(4,2)\]

So, option [d] is correct.