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On comparing the ratios a1/a2, b1/b2 and c1/c2 , find out whether the following pair of linear equations are consistent, or inconsistent. 4/3x + 2y = 8; 2x + 3y = 12 - Mathematics

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Sum

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.

`4/3x + 2y` = 8; 2x + 3y = 12

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Solution

`4/3x + 2y = 8`

2x + 3y = 12

= `a_1/a_2 = (4/3)/2 = 2/3, b_1/b_2 = 2/3, c_1/c_2 = 8/12 = 2/3`

= `a_1/a_2 = b_1/b_2 = c_1/c_2`

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 3.5 | Page 49
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