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Zeroes of a Quadratic Polynomial

For what valu...

Question

For what value of K does the pair of equations given below has a unique solution
$y - x = 6$ and $3 k x + 2 y = 7$

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Solution

For unique solution,
$\frac{a_{1}}{a_{2}} \neq \frac{b_{1}}{b_{2}}$

Therefore,
$\frac{1}{3 k} \neq \frac{- 1}{2}$

$k \neq \frac{- 2}{3}$

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