problem 733
On comparing the ratios \(\frac{a_1}{a_2}\), \(\frac{b_1}{b_2}\) and \(\frac{c_1}{c_2}\), find out whether the following pair of linear equations are consistent, or inconsistent. (i) \(3x + 2y = 5\) and \(2x - 3y = 7\) (ii) \(2x - 3y = 8\) and \(4x - 6y = 9\) (iii) \(\frac{3}{2}x + \frac{5}{3}y = 7\) and \(9x - 10y = 14\) (iv) \(5x - 3y = 11\) and \(-10x + 6y = -22\) (v) \(\frac{4}{3}x + 2y = 8\) and \(2x + 3y = 12\)