Answer:

is the system of equations representing the situation.
Step-by-step explanation:
Given:
Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.
Now, to find the system of equations representing the situation.
<u><em>Let the number of haircuts be </em></u>
<u><em /></u>
<u><em>Let the number of hair dyes be </em></u>
<u><em /></u>
So, Alexandra can give 3 haircuts and 2 hair dyes in:

Now, giving 2 haircuts and 4 hair dyes in:

Therefore,

is the system of equations representing the situation.