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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 equation. ### Step-by-Step Solution: **(i) Equations:** 1. \( 3x + 2y = 5 \) 2. \( 2x - 3y = 7 \) ...
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