Find the value of k for which each of the following system of equations have no solution :

3x − 4y + 7 = 0
kx + 3y − 5 = 0

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Solution

GIVEN:

To find: To determine for what value of k the system of equation has no solution

We know that the system of equations

For no solution

Here,

Hence for the system of equation has no solution.

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Find the value of k for which the following system of equations has no solution: (20-25):

3x - 4y + 7 = 0

kx + 3y - 5 = 0

k

3 x - 4 y + 7 = 0

k x + 3 y - 5 = 0

3 x - 4 y + 7 = 0

k x + 3 y - 5 = 0

2 x + 3 y - 5 = 0 k x - 6 y - 8 = 0

3 x - y - 5 = 0, 6 x - 2 y + k = 0, (k \neq 0) .

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