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Step-by-step explanation:

There are two commonly recognized beginner methods to solve a system of equations.  The first is elimination and the second is substitution.  I will go over both of them here.

Substitution:

Elimination:

This method is a bit hard to explain without visual aid, but I'll try my best :)

In elimination you can subtract each value with a common variable from its counterpart in the other equation.  For this example, subtract y-y to get 0, -2x - (-5x) to get 3x, and -9 - (-21) to get 12.

Thus,

Hope it helps and lmk if you need more help <3 :D

10 glasses of juice could be made with 5 carrots, 1,500 orange juice, 2,000 papaya juice.

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.