Question

For what value of k does the pair of equations given below has a unique solution?
-x+y-6=0
3kx+2y-7=0

Answer 1

Answer:

a1/a2 is not equal to b1/b2

therefore, -1/3k is not equal to 1/2

hence, -2 is not equal to 3k

in the last, it implies that k is not equal to -2/3

Step-by-step explanation:

we have given the pair of equations which is -x+y-6=0 and 3kx+2y-7=0 . and we need to find what value of k has a unique solution . moving on, we find that for becoming the unique solution a1/a2 should be equal to b1/b2 . it states that a1/a2 is not equal to the value of b1/b2 , therefore we can say that the value of k is not the value for the unique solution

therefore, its not the unique solution

for more reference , check out the steps mentioned above

thanks