Question

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Answer 1

QuestioN :

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

GiveN :

• y = 5/2.
• x = - λ.

SolutioN :

We have, Equation.

$\tt \dagger \: \: \: \: \: x + 4y - 7 = 0.$

★ Substitute the given value, We get the value of λ.

$\tt \implies - λ + 4\times \dfrac{5}{2} - 7 = 0.$

$\tt \implies \cancel 4\times \dfrac{5}{\cancel 2} - 7 = λ.$

$\tt \implies 10 - 7 = λ$

$\tt \implies λ = 3.$

Therefore, the value of λ is 3.

$\rule{120}3$

VerificatioN :

We have, Equation.

$\tt : \implies x + 4y - 7 = 0.$

$\tt : \implies - λ + 4y - 7 = 0.$

$\tt : \implies ( - 3 ) + 4 \times \dfrac{5}{4</p><p>2}- 7 = 0.$

$\tt : \implies - 3 + \cancel 4 \times \dfrac{5}{\cancel 2} - 7 = 0.$

$\tt : \implies - 3 + 10 - 7 = 0.$

$\tt : \implies 10 - 10 = 0.$

$\tt : \implies 0 = 0.$

★ Hence Verify.

$\rule{120}3$

Required MethoD :

• Substitution Method