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
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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)
