# On comparing the ratios a1/a2, b1/b2 and c1/c2, find out whether the following pair of linear equations are consistent, or inconsistent. 3/2x + 5/3y = 7 ; 9x - 10y = 14 - Mathematics

On comparing the ratios a_1/a_2, b_1/b_2 and c_1/c_2, find out whether the following pair of linear equations are consistent, or inconsistent. 3/2x + 5/3y = 7 ; 9x - 10y = 14

#### Solution

3/2x + 5/3y = 7

9x - 10y = 14

a_1/a_2 = (3/2)/9 = 1/6, b_1/b_2= (5/3)/-10=(-1)/6, c_1/c_2 = 7/14 = 1/2

Since a_1/a_2!=b_1/b_2

Therefore, these linear equations are intersecting each other at one point and thus have only one possible solution. Hence, the pair of linear equations is consistent

Concept: Graphical Method of Solution of a Pair of Linear Equations
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#### APPEARS IN

NCERT Class 10 Maths
Chapter 3 Pair of Linear Equations in Two Variables
Exercise 3.2 | Q 3.3 | Page 49