What is the solution to the system of equations?

(7, 13/3)

Step-by-step explanation:

  Line up the equations on top of each other

  Multiply the top equation by in order to cancel out the variable

  Switch out the first equation for this one

  Line up the equations

  Add the two equations top to bottom, left to right

Now that you've found , you need to find . Just plug in the y-value to either of the equations in Step 1:

The first equation has smaller numbers, so let's use that one.

To make it easier you can multiply all the terms in the equation by 3:

The - and - values together give a solution of ( , )

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.