Find the value of λ, if x = -λ and y = 5/2
Question:

Find the value of λ, if x = -λ and y = 5/2 is a solution of the equation x + 4y – 7 = 0 

Solution:

We are given, x + 4y – 7 = 0 (- λ, – 5) is a solution of equation 3x + 4y = k

Substituting x = – λ and y = 5/2 in x + 4y – 7 = 0,

We get; – λ + 4 × (5/2) – 7 = 0 -λ + 4 × 5/2 – 7 = 0 

λ = 10 – 7 

λ = 3 

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