For what value of k, the system of equations 3x + 6y = 8 and 6x + 12y = k represents, coincident lin

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16 Dec 2021 value of k

For what value of k, the system of equations 3x + 6y = 8 and 6x + 12y = k represents, coincident lines?

OPtion

1. 12
2. 26
3. 22
4. 24
5. 18
6. 16
7. 20
8. 21
9. 23
10. None of the above

Solution

If the given system of equations represents coincident lines
a1/a2 = b1/b2 = c1/c2
3/6 = 6/12 = 10/k
K = 10 x 12 / 6 = 20

Correct Option: 6 Best Solution (3)