Question

Find the value of k if the given equation has no solution 3x - 4y + 7 is equal to zero
Kx + 3y - 5 is equal to zero

Answer 1

Answer:

Step-by-step explanation:

Fir a pair of Linear equation to have no solution

a1/a2 = b1/b2 not equal to c1/c2

Here a1=3, b1=-4, c1=7

a2 =k, b2 =3, c2= -5

a1/a2 = b1/b2 => 3/k = -4/3

-4k = 9

k = -4/9

b1/b2 not equal to c1/c2

3/k not equal to 7/-5

7k not equal to -15

k not equal to -15/7

Hence k = -4/9 and k not equal to -15/7

Answer 2

Answer:

3x-4y+7=0

kx+3y-5=0

kx=-3y+5

k=-3y+5/x

x=-3y+5/k

put this value in eq -1

3(-3y+5/k)-4y+7=0

-9y+15/k-4y+7=0

-9y+15-4yk+7k=0

-9y-4yk+7k=-15

-y(9+4k)+7k=-15

9+4k+7k=15/y

[11k=15/y-9]

[k=15/yk-9]