Find the value of \( k \), if \( x=2, y=1 \) is a solution of the equation \( 2 x+3 y=k \)

Given:

$x=2$, $y=1$ is the solution of the equation $2x+3y=k$.

To do:

We have to find the value of $k$.

Solution:

According to the question,

$x=2$, $y=1$ is the solution of the equation $2x+3y=k$.

Now,

Let us substitute $x=2$, $y=1$ in the equation $2x+3y=k$

We get,

$2(2)+3(1)=k$

This implies,

$4+3=k$

$7=k$

Therefore,

$k=7$

The value of $k$ is $7$.

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Updated on: 10-Oct-2022

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