Answer:
It doesn't factor nicely
Step-by-step explanation:
x = 13.48331477, -1.483314774
I'd start by calculating the determinant of the coefficient matrix. That's a cubic in k. Then find the values of k that make this determinant 0.
<span>When the determinant is not 0, the system has a unique solution. </span>
<span>When the determinant is 0, the system is linearly dependent and has infinite solutions, or is inconsistent and has no solutions. Which option depends on the constants on the right. </span>
<span>So take each value of k that makes the system 0, and see whether the equations are identical or inconsistent. </span>
