Question

Using the system of equations are these two equations independent or dependent. -4x-2y=10 and y=-2x-5

Answer 1

Answer:

Independent equations

Explanation:

We were given that:

$\begin{gathered} -4x-2y=10----------1 \\ y=-2x-5-----------2 \end{gathered}$

We will proceed to solve simultaneously, we have:

$\begin{gathered} -4x-2y=10----------1 \\ \begin{equation*} y=-2x-5-----------2 \end{equation*} \\ \text{We will substitute equation 2 into 1, we have:} \\ -4x-2(-2x-5)=10 \\ \text{Expanding, we have:} \\ -4x+4x+10=10 \\ 10=10 \\ \end{gathered}$

The system of equation has just one solution, hence, ithese are independent equations