Question

The pair of linear equation
3x/2+5y/3=7 and 9x+10y = 14
(A) consistent
(B) inconsistent
(C) consistent with one solution
(D) consistent with many solution

Answer 1

Answer:

B) inconsistent

Step-by-step explanation:

a1/a2=b1/b2 is not equal to C1/c2

Answer 2

Answer:

(b) inconsistent

Step-by-step explanation:

GIVEN :

a1= 3/2   a2= 9

b1= 5/3  b2= 10

c1=  7     c2= 14

⇒a1/a2 = 3/2 / 9

         = 3/18

         = 1/6

⇒b1/b2 = 5/3 / 10

         = 5/30

         = 1/6

⇒c1/c2 =  7/14

        =  1/2

∴ a1/a2 = b1/b2 ≠ c1/c2   [parallel lines = inconsistent]