Find the ordered pair (x,y) that satisfies the system of equations x+y=15, x-y=3
Hi Guest!
\(x+y=15 \hspace{2cm} (1) \\ x-y=3 \hspace{2.215cm} (2) \\ \)
Now, let us add equations (1) and (2):
\((x+y)+(x-y)=15+3 \\ \iff 2x=18 \\ x=\dfrac{18}{2}=9\)
Substitute in (1):
\(9+y=15 \implies y=6\)
Therefore, \((x,y)=(9,6)\) is the solution to this system of two equations.
I hope this helps!
