Question

If $(2,0)$ is a solution of linear equation $2\mathrm{x}+3\mathrm{y}=\mathrm{k}$ then the value of $\mathrm{k}$ is

• A. $4$
• B. $5$
• C. $2$
• D. $1$

Answer 1

The correct option is A

$4$

Substitute the point in given linear equation

If $(2,0)$ is a solution of the equation $2\mathrm{x}+3\mathrm{y}=\mathrm{k}$ , then the value of $\mathrm{x}=2,\mathrm{y}=0$ must satisfy the given equation.

Substituting $\mathrm{x}=2,\mathrm{y}=0$ in $2\mathrm{x}+3\mathrm{y}=\mathrm{k}$ we get

$$\begin{gathered} 2\left(2\right)+3\left(0\right)=\mathrm{k} \\ \Rightarrow 4+0=\mathrm{k} \end{gathered}$$

$\Rightarrow$ $\mathrm{k}=4$

Hence, the value of $\mathrm{k}$ is $4$, so, option $\left(\mathrm{A}\right)$ is the correct answer.