Check which of the following are solutions of the equations $2x -y =6$ and which are not.$(\frac{1}{2}, -5)$

Given:

$2x -y =6$
To do:

We have to check whether $(\frac{1}{2}, -5)$ is a solution of the equation $2x -y =6$.
Solution:

To check whether $(\frac{1}{2}, -5)$ is a solution of the equation $2x -y =6$, we have to substitute it in the given equation.

Therefore,

$2(\frac{1}{2})-5=1-5$

$=-4$

$≠6$

$(\frac{1}{2}, -5)$ does not satisfy the equation $2x-y=6$.

Hence, $(\frac{1}{2}, -5)$ is not a solution of $2x-y=6$.