On comparing the ratios find out whether the following pair of linear equations are consistent, or inconsistent. 5x - 3y = 11 ; -10x + 6y = -22

Given, Equations : 5x - 3y = 11 ; -10x + 6y = -22 or, 5x - 3y - 11 = 0 ; -10x + 6y + 22 = 0 Comparing equations 5x - 3y - 11 = 0 and -10x + 6y + 22 = 0 with a 1 x + b 1 y + c 1 = 0 and a 2 x + b 2 y + c 2 = 0 respectively, we get : a 1 = 5, b 1 = -3, c 1 = -11, a 2 = -10, b 2 = 6 and c 2 = 22. Since, . Hence, the set of linear equations are consistent.