For what value(s) of k is the linear system consistent? (enter your answers as a comma-separated list.)

6x1 − 9x2 = 8

9x1 + kx2 = −1

x1 & x2 are subscripts

Step-by-step explanation:

Given

The given system is can be represented by

The given system is consistent when determinant of A is not equal to zero

i.e. system is consistent for all value of k except

Step-by-step explanation:

We have been given a system of equations as . We are asked to find the value of k such that the given system is consistent.

Let us consider two equations as:

For a system to be consistent the ratio of coefficient of x terms and y terms should not be equal that is:

Upon substituting our given values, we will get:

Since the given system will be consistent for all value except , therefore, we can choose any values for k such as or 2.

idk

step-by-step explanation:

sounds & other waves originate from any vibrating object