Question

for what value of k the following system has no solution or represent parallel lines 8 x + 5 y is equal to 9 and kx+ 10 is equal to 8​

Answer 1

Answer:

k=16

Error : Hello Asker..

The second equation of your question must contain the variable y and 18 instead of 8 that satiate the equation....

Step-by-step explanation:

Given, 8x + 5y = 9

& kx +10y=18

this can also be written in this form,

8x + 5y – 9 = 0

kx + 10y – 18 = 0

The above equations are in the form of

a1 x + b1 y − c1 = 0

a2 x + b2 y − c2 = 0

Here,

a1 = 8, b1 = 5, c1 = -9

a2 = k, b2 = 10, c2 = -18

Accordingly the equation used for unique solution,

a1/a2 = b1/b2= c1/c2

or, 8/k=5/10=−9/−18

or, k = 16

Hence, the given system of equations will have infinitely many solutions, if k = 16