Question

If (5,0) is a solution of x-5y =2k,then value of k is ____

5/2

2/5

-2/5

-5/2

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Answer 1

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✤ Required Answer:

✒ GiveN:

• Given linear equation x - 5y = 2k
• Solution of the equation (5,0)

✒ To FinD:

• Value of k.....?

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✤ How to solve?

As the above question is saying about an linear equation of two variables. Any pair of values of x and y that satisfies the equation ax + by + c = 0, is a solution of the equation.

⚘ So, By using this concept, Let's solve this question...$.$

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✤ Solution:

It is given that,

• Solution of equation = (5,0)

So, putting values of x and y

➝ x - 5y = 2k

➝ 5 - 5 × 0 = 2k

➝ 5 - 0 = 2k

➝ 5 = 2k

Flipping it,

➝ 2k = 5

➝ k = 5/2

☃️ So, Value of k = 5/2(A)

Hence, solved !!

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Answer 2

ANSWER:-

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• Given:-

$Equation \implies x - 5y = 2k$

• To Find:-

$k = ?$

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• SOLUTION:-

Solution of equation = (5,0)

Putting values of x and y

$\longrightarrow{ x - 5y = 2k}$

$\longrightarrow{ 5 - 5 × 0 = 2k}$

$\longrightarrow{ 5 - 0 = 2k}$

$\longrightarrow{ 5 = 2k}$

$\longrightarrow{ 2k = 5}$

$\longrightarrow{ k = \frac{5}{2}}$

Therefore, the value of k is :

$\\ \\ \implies{\bf{ k = \frac{5}{2}}}$

$Hence,{\bf{Option \: A}}$

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