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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 $2x-y=6$.
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