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Find the value of k, if $x = 2, y = 1$ , is a solution of the equation $2 x + 3 y = k$ . Find two more solutions of the resultant equation.

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answer is A.

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Detailed Solution

Concept- Any given value for x or y that is a solution to an equation involving those two variables must also satisfy the equation.
Given:

x = 2, y = 1

, is a solution of the equation

2 x + 3 y = k

Given: Linear equation

2 x + 3 y = k

.
We can find the value of

k

by substituting the values of

x

and

y

in the given equation.
By substituting the values of

x = 2

and

y = 1

in the given equation

2 x + 3 y = k

⇒ 2 (2) + 3 (1) = k

⇒ 4 + 3 = k

⇒

Hence,

k = 7

Therefore, the value of

k

is 7.
Hence, the correct answer is option 1.

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