Methods2025 Exam 2 Section A · Q4CAS active1 mark

System of equations with no real solutions

Consider the system of equations below containing the parameter $k$ , where $k \in R$ .

$\begin{aligned} kx + 3y &= k^2 \\ 2x + (2k+1)y &= 6 - 2k \end{aligned}$

Find the value(s) of $k$ for which this system has no real solutions.

1 mark

k = -2

onlyB

k = \frac{3}{2}

onlyC

k = -2

\frac{3}{2}

k \in R \setminus \left\{-2, \frac{3}{2}\right\}

Hints, answer checking and worked solutions come with a Season Pass.