On comparing the ratios `(a_1)/(a_2),(b_1)/(b_2)`and `(c_1)/(c_2)`, find out whether the lines representing the following pairs of linear equations intersect at a point, are parallel or coincident :
`(i) 3x+2y=5; 2x-3y=7`
`(ii)2x-3y=8;4x-6y=9`
`(iii)(3/2)x+(5/3)y=7;9x-10y=14`
`(iv)5x-3y=11;-10x+6y=-22`
`(v)(4/3)x+2y=8;2x+3y=12`

Explanation

To determine whether the lines representing the given pairs of linear equations intersect at a point, are parallel, or are coincident, we will compare the ratios \( \frac{a_1}{a_2}, \frac{b_1}{b_2}, \) and \( \frac{c_1}{c_2} \) for each pair of equations.

### Step-by-Step Solution:

**(i) For the equations:**
\[ 3x + 2y = 5 \quad (1) \]
\[ 2x - 3y = 7 \quad (2) \]

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