Question

Sam can not read part of this homework problem. -7y +5(3 + ___y) Sam knows the expression simplifies to 3y + 15. What number belongs on the blank line in the homework problem? Question 5 options: A. 10 B. -4 C. 4 D. 2

Answer 1

Write and solve an equation, as follows:

-7y + 5(3+ny) = 3y + 15.  We are to find the value of 'n.'

-7y + 15 + 5ny = 3y + 15.

Subtracting 15 from both sides, we get    -7y + 5ny = 3y 

Grouping like terms, we get   5ny = 3y + 7y = 10y

Dividing both sides by 5y, we get n = 2   (answer)