Question

If 3y + 2y = 10, 4x + ky= 18, then find the value of k for which lines are intersecting​

Answer 1

Step-by-step explanation:

Consider the given equations.

2x−3y=9 ……. (1)

kx−9y=18 …….. (2)

Slope of the line (1)

m

1

=

3

2

Slope of the line (2)

m

2

=

9

k

Since, both lines are parallel.

So, the slopes of both lines are equal.

Therefore,

m

1

=m

2

3

2

=

9

k

k=6

Hence, this is the value of k.

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