Question

On Comparing the ratio a1/a2,b1/b2and c1/c2, find out whether the following pair of linear equations are consistent or inconsistent : 2x-3y=8 ; 4x-6y=9​

Answer 1

$\boxed{QUESTION:-}$

On Comparing the ratio a1/a2,b1/b2and c1/c2, find out whether the following pair of linear equations are consistent or inconsistent : 2x-3y=8 ; 4x-6y=9 ?

$\boxed{SOLUTION:-}$

a1=2 b1=-3 c1=8

a2=4 b2=-6 c2=9

=>$\frac{2}{4}$=$\frac{-3}{-6}$≠$\frac{8}{9}$

=>$\frac{1}{2}$=$\frac{1}{2}$

=>$\frac{a1}{a2}$=$\frac{b1}{b2}$≠$\frac{c1}{c2}$

=>PARALLEL LINES

inconsistent pair of equations.

$\mathcal{BE \: BRAINLY}$

Answer 2

║⊕ANSWER⊕║

Given equations

$2x - 3y = 8$

$4x - 6y = 9$

$\frac{a1}{a2} = \frac{2}{4} = \frac{1}{2}$ ;

$\frac{b1}{b2} = \frac{-3}{-6} = \frac{1}{2}$ ;

$\frac{c1}{c2} = \frac{8}{9}$

$\frac{1}{2} = \frac{1}{2} \neq \frac{8}{9}$

∴ The lines are inconsistent and parallel