There are a total of 51 students in the Modern Dance and Ballet classes. The Modern Dance class has twice as many students as the Ballet class. Write a system of linear equations that represent this situation. How many students are in each class?

m=modern dance    b=ballet class

51= m+b

m= 2b

plug second equation into first equation

51= 2b+b

51= 3b

b=17

plug b into second equation

m= 2(17)

m= 34

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