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On comparing the ratios (a1)/(a2),(b1)/(...

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.
(i) `3x+2y=5; 2x-3y = 7`
(ii) `2x-3y=8 ; 4x-y=9`
(iii) `3/2x+5/3y=7 ; 9x-10y=14`
(iv) `5x-3y=11 ; -10x+6y = -22`
(v) `4/3 x +2y=8 ; 2x+3y = 12`

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To determine whether the given pairs of linear equations are consistent or inconsistent, 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 \( 3x + 2y = 5 \) and \( 2x - 3y = 7 \): 1. Identify coefficients: - \( a_1 = 3, a_2 = 2 \) ...
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