Find the value of λ, if x=-λ and y = 5/2 is a solution of the equation x+4y-7=0.
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(i) Given : x = - λ and y = 5/2 is a solution of the equation x + 4y - 7 = 0.
Equation : x + 4y – 7 = 0
On putting x = - λ and y = 5/2 in the given equation :
⇒ -λ + 4 × (5/2) – 7 = 0
⇒ -λ + 2 × 5 - 7 = 0
⇒ -λ + 10 - 7 = 0
⇒ -λ + 3 = 0
⇒ -λ = 0 - 3
⇒ -λ = - 3
⇒ λ = 3
Hence, the value of λ is 3.
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