Question

If $x=1$, $y=2$ is a solution of $2x+3y=k$, find the value of $k$.

Answer 1

Finding the value of $k$:

By substituting the given solution in the equation we will get the value of $k$.

Now, solving for the value of $k$,

Since $x=1$ and $y=2$ is a solution of $2x+3y=k$,

By putting the values of $x$ and $y$ in the given equation, we get;

∴ $2\left(1\right)+3\left(2\right)=k$
$\Rightarrow 2+6=k$
$\Rightarrow k=8$
Hence, the value of $k$ is $8$.