Find an equivalent system of equations for the following system: x + 2y = 2
−4x + 4y = −8

a) x + 2y = 2
−4x − 2y = 10

b) x + 2y = 2
5x + 4y = 8

c) x + 2y = 2
5x − 2y = 10

d) x + 2y = 2
5x − 2y = −8

Option C

Step-by-step explanation:

we have

x+2y=2 > equation A

-4x+4y=-8 > equation B

Multiply equation B by -1 both sides

-1(-4x+4y)=-8*(-1)

4x-4y=8 > equation C

Adds equation A and equation C

x+2y=2

4x-4y=8

5x-2y=10 > equation D

An equivalent system of equations is equation A and equation D

so

x+2y=2 > equation A

5x-2y=10 > equation D

C

Step-by-step explanation:

i took the test

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.