Question

Find whether the following pair of linear equations is consistent or inconsistent:

$3x+2y=8$
$6x-4y=9$

Answer 1

Here, $a_1=3,a_2=6,b_1=2,b_2=-4$
$\frac{a_1}{a_2}=\frac{3}{6}=\frac{1}{2},\frac{b_1}{b_2}=\frac{2}{-4}=\frac{-1}{2}$

$\frac{a_1}{a_2}$ $\ne$ $\frac{b_1}{b_2}$, which will give a unique solution.

Hence, given pair of linear equations is consistent.