Question

If Kx+3y=6 and 2x-3y=12 has no solution then find k​

Answer 1

Step-by-step explanation:

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Answer 2

Given Equation

kx + 3y = 6

2x - 3y = 12      has no Solution

To Find The value of k

For No solution

a₁/a₂=b₁/b₂ ≠ c₁/c₂

Now Compare with

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

we get

a₁= k , b₁ = 3 and c₁= -6

a₂ = 2 , b₂ = -3 and c₂ = -12

Put the value

k/2 = 3/-3 ≠ -6/-12

We Take

k/2 = 3/-3

k/2 = -1

k = -2

Answer

Value of k = -2