P. What rational number is halfway between 1/6 and 1/2?

The correct answer to this system is (7, 2).

In order to find the answer, we will use a process called addition. In this, we will add the two equations together in order to get a variable to cancel out. In order to get one to cancel out in this case, we need to multiply the whole second equation by -1. The result will be the system below.

x + 15y = 37

-x + 8y = 9

Now we can add like terms together

x + 15y = 37

-x + 8y = 9

23y = 46

And using this, we can solve for y.

23y = 46

y = 2

Once we have the answer for one variable, we can use it in either equation to solve for the other.

x + 15y = 37

x + 15(2) = 37

x + 30 = 37

x = 7

Giving us the ordered pair of (2, 7)