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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

Respuesta :

absor201

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'.