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Find the ordered pair (x,y) that satisfies the system of equations x+y=15, x-y=3

 Sep 30, 2022
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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!

 Sep 30, 2022

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