Question

The value of k for which the system of linear equations x+2y=3, 5x+ky+7=0 is inconsistent is
a.-14/3
b.2/5
c. 5
d. 10​

Answer 1

Answer:

b)is the write answer this is helpful for you

Answer 2

Answer:

b) 2/5

Explanation:

x+2y=3

2y=3-x

y=3-x/2

5x+ky+7=0

5x+k(3-x/2)+7=0

k= (3-x)(5x-7)/2

k= 15x-21-5x^2 -7x/2

k= -5x^2+8x-21

by finding the roots of equations

-b+- sqrt(b^2-4ac)/2a

-8+-sqrt(8^2-2(5)(21)/2*5

-8+- 12/10

-8+12/10

4/10

2/5