Solve the following equation.
–9 = 5/17 n
(1 point)
responses
A. n = -153/5
B. n = -5/153
C. n = -17/45
D. n = -45/17
To solve the equation -9 = 5/17 n, first, we can multiply both sides of the equation by 17 to eliminate the fraction.
-9 * 17 = (5/17 n) * 17
-153 = 5n
Next, we can divide both sides of the equation by 5 to isolate the variable n.
-153/5 = (5n)/5
-153/5 = n
Therefore, the solution to the equation is:
n = -153/5
So the correct answer is:
A. n = -153/5
To solve the equation –9 = 5/17n, we can isolate n by performing inverse operations.
1. The first step is to eliminate the fraction by multiplying both sides of the equation by the denominator of the fraction (17):
–9 * 17 = (5/17n) * 17
Simplifying:
–153 = 5n
2. Next, we want to isolate n. To do this, divide both sides of the equation by 5:
–153/5 = (5n)/5
Simplifying:
–153/5 = n
Therefore, the solution to the equation –9 = 5/17n is n = –153/5.
So, the correct answer is A. n = -153/5.
To solve the equation –9 = 5/17n, you need to isolate the variable n. Here are the steps to solve it:
1. Multiply both sides of the equation by 17, to eliminate the fraction:
-9 * 17 = (5/17n) * 17
-153 = 5n
2. Divide both sides of the equation by 5, to solve for n:
-153/5 = 5n/5
-153/5 = n
Therefore, the solution to the equation is n = -153/5. Hence, the answer is A. n = -153/5.