Question

3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions

Answer 1

Answer:

no solutions

Step-by-step explanation:

3(-n+4)+5n=2n

Distribute

-3n +12 +5n = 2n

2n+12 = 2n

Subtract 2n from each side

12 = 0

This is never true so there are no solutions

Answer 2

Answer:

B. No Solution

Step-by-step explanation:

First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).

$-3n + 12 + 5n = 2n$

Next, you collect the like terms, in this case, the like terms are -3n and 5n.

$2n + 12 = 2n$

Finally, you will cancel equal terms on both sides of the equation (which is the 2n).

$12 = 0$

This makes the statement false for any value of n. Meaning that your answer is B, no solution.