Answer:
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'.
Step-by-step explanation:
Given the equation
[tex]-\frac{7}{2}n+5=-16[/tex]
Let me solve this using the correct method
[tex]-\frac{7}{2}n+5=-16[/tex]
Add -5 to both sides
[tex]-\frac{7}{2}n+5+\left(-5\right)=-16+\left(-5\right)[/tex]
simplify
[tex]-\frac{7}{2}n=-21[/tex]
Multiply both sides by -2/7
[tex]-\frac{7}{2}n\times -\frac{2}{7}=-21\times -\frac{2}{7}[/tex]
simplify
[tex]n=6[/tex]
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'.
