Question

Question 1(ii)
Do the following pair of linear equations have no solution? Justify your answer.
x = 2y and y = 2x

Answer 1

x = 2y and y = 2x
x – 2y = 0 and 2x – y = 0
$Here,a_1=1,b_1=-2,c_1=0a_2=2,b_2=-1,c_2=0\frac{a_1}{a_2}=\frac{1}{2}and\frac{b_1}{b_2}=\frac{2}{1}\frac{a_1}{a_2}\ne \frac{b_1}{b_2}$
Hence, the given pair of linear equations has unique solution.