Question

system as an ordered pair (X,Y)?

y = -3x + 5

y = 2x + 5
Can someone please explain to me how you do this?

Answer 1

Substitution method: set them equal and solve for x
Elimination method: subtract the 2 equations and solve for x

Answer 2

Subtract the second equation from the first: \[
\begin{array}{rcl}
&y &=& -3x &+& 5 \\

-&y &=& 2x &+& 5 \\ \\
&0 &=& -5x&+&0
\end{array}
\]Meaning \(x=0\) Plug it into either equation to get \(y\)