Question

For what value of k the
pair of equation
42-3y=9, 2x+ ky=11 has no
solution?​

Answer 1

Correct Question

For What Value of k the pair of equation 4x - 3y = 9 , 2x + ky = 11 has Now Solution

Solution

Given Equation

⇒4x - 3y -9 = 0                      (i)

⇒2x + ky - 11 = 0                    (ii)

Now Compare with

⇒a₁x + b₁y + c₁ = 0

⇒a₂x + b₂y + c₂ = 0

We get

⇒a₁ = 4 , b₁ = -3 and c₁ = -9

⇒a₂ = 2 , b₂ = k and c₂ = -11

Condition for no solution is

⇒a₁/a₂ = b₁/b₂ ≠ c₁/c₂

Put the value on formula

⇒4/2 = -3/k ≠ -9/-11

⇒2= -3/k

⇒2k = -3

⇒k = -3/2

Answer

⇒k = -3/2

Answer 2

• 4x - 3y -9 = 0
• 4x - 3y -9 = 0 2x + ky - 11 = 0

Соmраre :-

• а ₁ x + b ₁ y + с ₁ = 0
• а ₂ x + b ₂ y + с ₂ = 0

After comparing, we get :-

• а₁ = 4 , b₁ = -3 аnd с₁ = -9
• а₂ = 2 , b₂ = k аnd с₂ = -11

а₁/а₂ = b₁/b₂ ≠ с₁/с₂

Рut value in the fоrmulа :-

• 4/2 = -3/k ≠ -9/-11
• 2= -3/k
• 2k = -3
• k = -3/2

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hope it helps