Question

The pair of equations 2x – 3y = 7 and – 4x + 6y = 7 have *

(a) a unique solution

(b) infinitely many solutions

(c) no solution

(d) two solutions​

Answer 1

Answer:

Here , a1 = 2, b 1 = -3 , c1 = -7

a2 = -4, b2 = 6 ,c2= -7

so, a1 / a2 = 2/ -4 = -1/ 2

b1 / b2 = -3 / 6 = -1 / 2

c1 / c2 = -7 / -7 = 1

so , here -1/2 = -1/ 2 not equal 1

so , a1 / a2 = b1 / b2 not equal c1 / c2

. ° . so, It has infinitely many solution

Hence , option no (ii) is correct