Question

find the value of k in the system of linear equation in two variables Kx + 4y = 10 , 3x + 6y = 15 , if these pair up to be inconsistent​

Answer 1

Step-by-step explanation:

$45x = - 55 - 5 \\ 45x = - 60 \\ x = \frac{ - 60}{45}$

Answer 2

The value of k is 2.

Given:

Kx + 4y = 10 and 3x + 6y = 15 are the system of linear equation in two variables

These pair up to be constant

To Find:

The value of k.

Solution

We are required to find the k value.

Compare a₁x + b₁ = c₁ and a₂x + b₂ = c₂ with Kx + 4y = 10 and 3x + 6y = 15 respectively.

a₁ = k, a₂ = 3, b₁ = 4, and b₂ = 6

We know that, If the equation is inconsistent then a₁/a₂ = b₁/b₂ ---- (1)

Substituting the value of a₁, a₂, b₁, and b₂ in the equation(1)

k/3 = 4/6

k = 2.

Therefore, The value of k is 2.

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