Question

If $(2k-1,k)$ is solution of the equation $10x-9y=12$, then find the value of '$k$' is

• A. $12$
• B. $6$
• C. $-2$
• D. $2$

Answer 1

The correct option is D

$2$

Explanation for the correct option:

We know that the solution should satisfy the equation, therefore putting the given value of point in the equation we get,

$$\begin{gathered} \Rightarrow 10x-9y=12 \\ \Rightarrow 10\times (2k-1)-9\times k=12 \\ \Rightarrow 10\times 2k-10\times 1-9k=12 \\ \Rightarrow 20k-10-9k=12 \\ \Rightarrow 11k=12+10 \\ \Rightarrow 11k=22 \\ \Rightarrow k=2 \end{gathered}$$

The value of $k=2$, hence the correct option is D