Question

Determine which ordered pairs, if any, are solutions to the system.

Answer 1

We will determine te ordered pairs that are solution as follows:

*First pair (5, 1):

$\begin{cases}-4(5)+(1)=19 \\ 2(5)+5(1)=7\end{cases}\Rightarrow\begin{cases}-19\ne19 \\ 15\ne7\end{cases}$

So, the first pair is not a solution.

*Now, we test (-4, 3):

$\begin{cases}-4(-4)+(3)=19 \\ 2(-4)+5(3)=7\end{cases}\Rightarrow\begin{cases}19=19 \\ 7=7\end{cases}$

So, the pair (-4, 3) is solution of the system.