Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • On comparing the ratios a 1 by a 2 , b 1 by b2 and c 1 by c 2, find out whether the lines representing the following pairs of linear equations are consistent, or inconsistent:: (i) 3x plus 2y equals 5 ; 2x minus 3y equals 7

Q2.    On comparing the ratios \frac{a_1}{a_2}, \frac{b_1}{b_2} and \frac{c_1}{c_2}, find out whether the lines representing the following pairs of linear equations are consistent, or inconsistent:

                    (i)    3x + 2y = 5;\qquad 2x - 3y = 7

Answers (1)

best_answer

Give, Equations,

\\3x + 2y = 5;\qquad\\ 2x - 3y = 7

Comparing these equations with  a_1x+b_1y+c_1=0\:and\:a_2x+b_2y+c_2=0, we get 

\frac{a_1}{a_2}=\frac{3}{2},\:\frac{b_1}{b_2}=\frac{2}{-3}\:and\:\frac{c_1}{c_2}=\frac{5}{7}

As we can see 

\frac{a_1}{a_2}\neq\frac{b_1}{b_2}

It means the given equations have exactly one solution and thus pair of linear equations is consistent.

Posted by

Pankaj Sanodiya

View full answer

Similar Questions

Trending Articles/News

anam-khan

Board Exam Date 2025 Live: Bihar Class 10, 12 model papers out, time table soon; updates on CBSE, UP

Latest Question