Question

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

Answer 1

The given condition $x=2$and $y=1$is the solution of the equation $2x+3y=k.$

On substituting the values of $x$and$y$ in the equation $2x+3y=k,$ we get,

$$\begin{gathered} 2x+3y=k \\ \Rightarrow (2\times 2)+(3\times 1)=k \\ \Rightarrow 4+3=k \\ \Rightarrow k=7 \end{gathered}$$
Hence, the required value of $k$ is $7$.