Question

on comparing the ratio a1/a2 , b1/b2 , c1/c2 Find out whether the pair 9x + 3y + 12 = 0 and 18x + 6y + 24 = 0 is consistent or inconsistent.​

Answer 1

$\textbf{Given:}$

$\textsf{Equations are 9x+3y+12=0 and 18x+6y+24=0}$

$\textbf{To find:}$

$\textsf{The given equations are consistent or inconsistent}$

$\textbf{Solution:}$

$\mathsf{Consider,}$

$\mathsf{9x+3y+12=0}$

$\mathsf{18x+6y+24=0}$

$\mathsf{\dfrac{a_1}{a_2}=\dfrac{9}{18}=\dfrac{1}{2}}$

$\mathsf{\dfrac{b_1}{b_2}=\dfrac{3}{6}=\dfrac{1}{2}}$

$\mathsf{\dfrac{c_1}{c_2}=\dfrac{12}{24}=\dfrac{1}{2}}$

$\implies\mathsf{\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}$

$\therefore\textsf{The given equations are consistent}$

Find more:

Solve that the following pair of linear equations are consistent or inconsistent 5x-3y=11, 10x-6y=22​

https://brainly.in/question/22543281