Question

Equations 3x - 2y = 1 and (k + 1)x + 6y
= 10 represent parallel lines then the
value of k is
​

Answer 1

SOLUTION

GIVEN

Equations 3x - 2y = 1 and (k + 1)x + 6y = 10 represent parallel lines

TO DETERMINE

The value of k

EVALUATION

Here the given equation of the lines are

3x - 2y = 1 - - - - -(1)

(k + 1)x + 6y = 10 - - - - (2)

Slope of the first line is

$\displaystyle\sf{ = \frac{3}{2} }$

Slope of the second line is

$\displaystyle\sf{ = - \frac{(k + 1)}{6} }$

Since two lines are parallel

So slope of the lines are equal

$\displaystyle\sf{ - \frac{(k + 1)}{6} = \frac{3}{2} }$

$\displaystyle\sf{ \implies 2(k + 1) = - 18 }$

$\displaystyle\sf{ \implies (k + 1) = - 9 }$

$\displaystyle\sf{ \implies k = - 10}$

FINAL ANSWER

Hence the required value of k = - 10

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Answer 2

Step-by-step explanation:

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