Question

Solve The Equation

1/7 (63n - 77) = -11 + 9n
A. No Solution
B. n = 0
C. Infinite Solutions
D. n = 11/9
E. n = -11/9

Answer 1

C. Infinite Solutions

Explanation:

In order to solve this we fist have to simplify the equation so we do the following:

`(1)/(7)(63n -77) = -11 + 9n\\\\((1)/(7))(7)(63n - 77) = (7)(-11 + 9n) \\\\63n - 77 = -77 + 63n\\63n - 77 = 63n - 77`

From here we know that any value of n is the solution of this equation so the answer is option C.