# Question #dd801

Oct 26, 2017

The two numbers are $6$ and $11$.

#### Explanation:

To solve this equation, you need to create a system of linear equations. These are the equations I created

$x + y = 17 \text{ }$ and $\text{ } x - y = 5$

You then solve for $x$ or $y$ in either equation. I chose to solve for $x$ in the second equation and got

$x = y + 5$

I then substitute the expression I got into the other equation and got

$y + 5 + y = 17$

which I simplified to

$2 y + 5 = 17$

You then solve for $y$. I got

$y = 6$

Finally, you substitute why into either of your original equations where I got

$x = 11$

Your final numbers should be $6$ and $11$.