Question

If the pair of equations 2x + 3y = 7 and kx + 9
2
y = 12 have no solution, then the value of
k is:

Answer 1

Answer:

a1/A2=1/2

b1/b2=3/1

C1/C2=7/2

Answer 2

Answer:

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.