Question

The value of k for which the pair of equations 2x + 3y = 7 and kx + (9/2)y = 12 have no solution is

Answer 1

Hey user here is your answer........

----> To find - k

◆◆◆ Given equation- 2x+3y=7 & kx + (9/2)y=12

◆As condition for no solution is

◆a1/a2=b1/b2 but not equals to c1/c2

◆Here a1=2
◆a2=k

◆b1=3
◆b2=9/2

◆We have to find k so we are taking a1/a2 =b1/b2

◆2/k=3/9/2

◆2/k=3×2/9

◆2/k=6/9

◆9×2=6×k

◆18=6k

◆k=18/6

◆k=3

Hope it helps you☺️

Answer 2

HELLO DEAR,


given that:-

2x + 3y = 7-----------( 1 )
kx + (9/2)y = 12--------( 2 ).

and,

have a no solution,

as you know condition for no solution,

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂

where,
a₁ = 2 , b₁ = 3 , c₁ = 7
a₂ = k , b₂ = (9/2) , c₂ = 12



now,

2/k = 3/(9/2) ≠ 7/12

2/k = 2/3

k = 6/2

k = 3.





I HOPE ITS HELP YOU DEAR,
THANKS