You want to solve for 'z'.
First combine like terms on either side of the equal sign.
Left side: 9z +2 ----> No like terms, leave alone
Right side: 6z - 10 -z - 4 ----> circle like terms and add
6z -z = 5z
-10 -4 = -14
Now the equation is:
9z + 2 = 5z - 14
Get all the 'z' terms on the left side and all the numbers on right side.
You can move a term to the other side if you flip the sign.
Move 5z to left side, flip the sign to -5z
Move '2' to right side, flip the sign to -2
9z - 5z = -2 -14
Add like terms
4z = -16
Divide by 4 on both sides
z = -4
I believe it's a rational number, since it's an integer.
This is what we already know:
![\left[\begin{array}{cccc} &YB&NB&total\\YF&45&[unknown]&146\\NF&[unknown]&[unknown]&[unknown]\\total&144&[unknown]&428\end{array}\right]](https://tex.z-dn.net/?f=%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%20%26YB%26NB%26total%5C%5CYF%2645%26%5Bunknown%5D%26146%5C%5CNF%26%5Bunknown%5D%26%5Bunknown%5D%26%5Bunknown%5D%5C%5Ctotal%26144%26%5Bunknown%5D%26428%5Cend%7Barray%7D%5Cright%5D%20%20%20)
And using this information, we can fill the table out. Remember that everything must add up to the total in the column and row. The complete table looks like this:
![\left[\begin{array}{cccc} &YB&NB&total\\YF&45&101&146\\NF&99&183&282\\total&144&284&428\end{array}\right]](https://tex.z-dn.net/?f=%20%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D%20%26YB%26NB%26total%5C%5CYF%2645%26101%26146%5C%5CNF%2699%26183%26282%5C%5Ctotal%26144%26284%26428%5Cend%7Barray%7D%5Cright%5D%20)
Using the complete table, we see the fraction for students that only like baseball is
and students who only like football is
. All you need to do is add these fractions together to get your answer.

In short, 200 students only like one of the two sports.
Answer:

Step-by-step explanation:

Since
:

Solving for
:

Verify that the point of intersection occurs at 