Question

find the value of k linear pair x+y-4=o and 2x+ky-3=0 have no soulution​

Answer 1

Answer:

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Step-by-step explanation:

a1/a2=b1/b2

1/2=1/k

k=2

Answer 2

Given :-

▪ Two Linear equations in two variables,

• x + y - 4 = 0
• 2x + ky - 3 = 0

To Find :-

▪ Value of k for which the system of equations will have no solution.

Solution :-

Given us two linear equations in two variables, So let us find the coefficients of the variables of both the equations by comparing with the standard form of a linear equation in two variables i.e., ax + by + c = 0

• a₁ = 1 ; b₁ = 1 ; c₁ = -4
• a₂ = 2 ; b₂ = k ; c₂ = -3

For a system of equations to have no solution, the coefficients follow the given condition

⇒ a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂

First, Solving the first condition , a₁ / a₂ = b₁ / b₂

⇒ 1 / 2 = 1 / k

⇒ k = 2

Now, the second condition, b₁ / b₂ ≠ c₁ / c₂

⇒ 1 / k ≠ -4 / -3

⇒ 1 / k ≠ 4 / 3

⇒ k ≠ 3 / 4

So, The value of k is 2.