Question

Do the following pair of linear equations have no solution ?

x = 2y ;
y = 2x

• A. Yes
• B. No
• C. Cannot be determined
• D. None of these

Answer 1

The correct option is B No

The given pair of linear equation is
$x-2y=0$
$y-2x=0$
Here $a_1=1,b_1=-2$
and $a_2=-2,b_2=1$
$\therefore \frac{a_1}{a_2}=\frac{1}{-2}$
$\frac{b_1}{b_2}=\frac{-2}{1}$
Hence $\frac{a_1}{a_2}\ne \frac{b_2}{b_2}$
Then the given pair of linear equation have a unique solution.

Hence, option B is the answer.