QuestionChoose values for $h$ and $k$ so the system has no solution, a unique solution, or many solutions.
1. $x_{1}+h x_{2}=3$
2. $2 x_{1}+6 x_{2}=k$
a. Fill in the blanks for when there are no solutions.

Studdy Solution
(c) For the system to have many solutions, we need the two equations to be identical, which happens when $h =3$ and $k =6$.
So, the correct answers are(a) The system has no solutions only when $h =3$ and $k \neq6$. (b) The system has a unique solution only when $h =3$ and $k =6$. (c) The system has many solutions only when $h =3$ and $k =6$.