Question

For what value of k, do the equations 2x - 3y + 10 = 0 and 3x + ky + 15 = 0 represent coincident lines

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Answer 1

a1/a2= b1/b2= c1/c2 (for coincident lines)

2/3= -3/k= 10/15

k= -9/2

Answer 2

Answer:

coincident line means it should be in the the form of a1/a2=b1/b2=c1/c2

Step-by-step explanation:

coincident line means it should be in the the form of a1/a2=b1/b2=c1/c2

so,

a1/a2 :-2/3

b1/b2:- -3/k

c1/c2 :-10/15=2/3

let's verify

1. 2/3=-3/k

(cross multiplication)

2k= -3×3

2k= -9

k= -9/2

2. -3/k=2/3

(cross multiplication)

-3×3=2k

-9=2k

-9/2=k

k= -9/2

so the value of k is -9/2

since I've learnt this recently I'm not sure about this , please comment if it is wrong