Find the ordered pair (x,y) that satisfies the system of equations
x + y = 15
x - y = 3
\(\begin{align*} x+y&=15,\\ x-y&=3. \end{align*}\)
Add both equations up and the y's cancel out. So we have:
2x = 18
x = 9
Plug this into our first equation:
9 + y = 15
y = 6
So (9, 6)