Does the following pair of linear equations have a unique solution?
$2 x + \frac{y}{2} = 3$
$y = 2 x$

yes

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Solution

The correct option is A yes
Given,
$2 x + \frac{y}{2} = 3 \Rightarrow \frac{y}{2} = - 2 x + 3$
Multiply both the sides by $2$
$\Rightarrow y = - 4 x + 6 \dots (i)$
and $y = 2 x \dots (i i)$

Line $(i)$ has a slope of $- 4$ and line $(i i)$ has a slope of $2.$ So they will definitely intersect at a point.
Hence, given pair of equations have a unique solution.

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