Question

the system of equation 2x + Y - 3 is equal to zero and 5 x + K Y + 7 is equal to zero has no solution then K is​

Answer 1

Step-by-step explanation:

2x + y - 3 = 0 ( 1)

5x + ky + 7 = 0 ( 2 )

multiply first eqn by 5

multiply 2nd eqn by 2 and subtract

10 x + 5y - 15 = 0

10x + 2ky - 14 = 0

______________

0 + 5y- 2ky - 1 = 0

y ( 5 - 2k ) = 1

5 - 2k = 1/y

- 2k = 1 / y - 5

k = -1/2 ( 1/y - 5 )