Question

11. Which of the following linear equations has no solution ?
(a) 3x + 5 = 9
(6) 2x - 9 = 5 - 9x
(c) 3(2-3x) = -9x + 5
(d) 4x + 9 = 0​

Answer 1

Answer:  (c)

Step-by-step explanation:

(c) 3(2-3x) = -9x + 5

or, 6 - 9 x = - 9 x + 5

this equation has no solution because on RHS and LHS coefficients of x are same but the constants are different. So this equation has no solution.

All other options have solutions:

(a) 3x + 5 = 9

or, x = (9-5)/3 = 4/3

(b) 2x - 9 = 5 - 9x

or, 11x = 14  or, x = 14/11

(d) 4x + 9 = 0​

or, x = -9/4

So the answer is (c)