Question

The volue of k for which the pair of linear equations 4x+6y-1 and 2x+ky-7=0represenes der Parallel line​

Answer 1

Hey mate,

Parallel lines are when

A1 /A2 = B1/ B2 not equal to C1/C2

4/2 = 6/ k not equal to 1/7

2 = 6/k

k = 3

Thus the value of k must be 3 so that the lines will become parallel !!

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Answer 2

Answer:

If two lines are parallel then their slopes are equal.

=}

$m1 = m2$

In first equation, 4x + 6y - 1 = 0

$m1 \: = \: \frac{4}{6}$

$m1 \: = \: \frac{2}{3}$

In second equation, 2x + ky - 7 = 0

$m2 \: = \: \frac{2}{k}$

but,

$m1 \: = \: m2$

so,

$\frac{2}{3} = \frac{2}{k}$

=} by comparing,

$k = 3$