Question

Find the value of k for which the following system of equations has a unique solution:

$$\begin{gathered} 4x-5y=k \\ 2x-3y=12 \end{gathered}$$

Answer 1

GIVEN:

To find: To determine to value of k for which the system has a unique solution.

We know that the system of equations

For unique solution

Here,

Hence already for the system of equation to have unique solution but the value of k should be a real number

Hence for the system of equation has unique solution.