Question

Which of the following describes a correct method for solving the equation: -7/2n + 5= -16 A. Add 5 to both sides, then devide both sides by 2/7. B. Subtract 5 from both sides, then add 7/2 to both sides. C. Add -5 to both sides, then multiply both sides by -2/7. D. Subtract 5 from both sides , then multiply both sides by 7

Answer 1

If the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.

Explanation:

Given the equation

`-(7)/(2)n+5=-16`

Let me solve this using the correct method

`-(7)/(2)n+5=-16`

Add -5 to both sides

`-(7)/(2)n+5+\left(-5\right)=-16+\left(-5\right)`

simplify

`-(7)/(2)n=-21`

Multiply both sides by -2/7

`-(7)/(2)n* -(2)/(7)=-21* -(2)/(7)`

simplify

`n=6`

Therefore, if the use the method ''Add -5 to both sides, then multiply both sides by -2/7'', we can get the value n = 6.

Thus, the correct option is 'C'.