#### Question

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.

3x + 2y = 5 ; 2x – 3y = 7

#### Solution

3x + 2y = 5

2x - 3y = 7

`a_1/a_2 = 3/2, b_1/b_2 = (-2)/3, (c_1)/(c_2)= 5/7`

`a_1/a_2 != b_1/b_2`

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.

Is there an error in this question or solution?

Solution n comparing the ratios a1/a2, b1/b2 and c1/c2 ,find out whether the following pair of linear equations are consistent, or inconsistent. 3x + 2y = 5 ; 2x – 3y = 7 Concept: Graphical Method of Solution of a Pair of Linear Equations.