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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