Question

For what value of K will the pair of linear equation:- Kx+2y=5,3x+y=1 have unique solutions

pls answer​

Answer 1

• kx + 2y = 5

• 3x + y = 1

______________ [GIVEN]

• We have to find find the value of k if the linear equations have unique solutions.

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Unique solutions means

$\dfrac{a_{1}}{a_{2}}$ ≠ $\dfrac{b_{1}}{b_{2}}$

Here

• $a_{1}$ = k

$a_{2}$ = 3

• $b_{1}$ = 2

$b_{2}$ = 1

$\implies$ $\dfrac{k}{3}$ ≠ $\dfrac{2}{1}$

Cross-multiply them

$\implies$ k ≠ 3 × 2

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$\implies$ k ≠ 6

____________ [ANSWER]

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