FIND THE MISSING VALUE IF THE SYSTEM HAS NO SOLUTION

Find the value of k, so that the following system of equations has no solution:

Problem 1 :

3x + y = 1; (2k - 1)x + (k - 1)y = (2k - 1)

Solution

Problem 2 :

3x + y = 1; (2k - 1)x + (k - 1)y = (2k + 1)

Solution

Problem 3 :

x - 2y = 3; 3x + ky = 1

Solution

Problem 4 :

x + 2y = 5; 3x + ky + 15 = 0

Solution

Problem 5 :

kx + 2y = 5; 3x - 4y = 10

Solution

Problem 6 :

x + 2y = 3; 5x + ky + 7 = 0

Solution

Problem 7 :

8x + 5y = 9; kx + 10y = 15

Solution

Answer Key

1) k = 2

2) k = 2

3) k = -6

4) k = 6

5)  k = -3/2

6)  k = 10

7)  k = 16

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