Methods2023 Exam 2 Section A · Q4CAS active1 mark

Infinite solutions of a linear system with parameter

Consider the system of simultaneous linear equations below containing the parameter $k$ .

$\begin{aligned} kx + 5y &= k + 5 \\ 4x + (k+1)y &= 0 \end{aligned}$

The value(s) of $k$ for which the system of equations has infinite solutions are

1 mark

k \in \{-5, 4\}

k \in \{-5\}

k \in \{4\}

k \in R \setminus \{-5, 4\}

k \in R \setminus \{-5\}

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