Question

The solution set of of x+2y-3=0 is an empty set. The value of k is ________ .

a. 6 b. 3 c. 10 d. 7​

Answer 1

Answer:

k = 10

Step-by-step explanation:

For a system of equations a

1

x+b

1

y+c

1

=0;a

2

x+b

2

y+c

2

=0 to have no solution, the condition to be satisfied is

a

2

a

1

=

b

2

b

1



=

c

2

c

1

⇒

5

1

=

k

2



=

7

−3

∴ For k=10, the given system of equation has no solution.