Answer :
Answer:
There are 13 females in the class.
Step-by-step explanation:
Setting Up a System of Equations
A system of equations can be written to model each sentence.
If a Spanish class consists of males, m and females, f then,
[tex]m+f=35[/tex].
If the number of f is 9 less than m then f can be written in terms of m or,
[tex]f=m-9[/tex].
Solving for f Stragetically
We substitute the second equation of f into the first equation but, that solves for m since all the terms on the left side would be in terms of m.
Although we can proceed with this step, and plug in the solved m value into the second equation to find f, a quicker method can be used.
We can rearrange the second equation to have m in terms of f so that when we plug in the second equation in the first, we have the first equation all in terms of f.
[tex]f=m-9\\\\\Rightarrow f+9 = m[/tex]
Inserting the modified second equation into the initial equation,
[tex](f+9)+f=35[/tex]
[tex]2f+9=35[/tex]
[tex]2f=26[/tex]
[tex]f=13[/tex].
