Question

Solve for n and p by using substation 6n +2p =-3 and 4n + 2p= -1

Answer 1

Let's subtract the equations. To do this let's multiply by (-) the second equation and sum:

$\begin{gathered} +6n+2p=-3 \\ -4n-2p=+1 \\ -------- \\ +2n+0p=-2 \end{gathered}$

Now simplify

$\begin{gathered} 2n=-2 \\ n=\frac{-2}{2} \\ n=-1 \end{gathered}$

Now replacing the n value in the first equation

$\begin{gathered} 6(1)+2p=-3 \\ 6+2p=-3 \end{gathered}$

Solving for p

$\begin{gathered} 2p=-3-6 \\ p=-\frac{9}{2} \end{gathered}$

Answer: n=-1 and p=-9/2