solve the following equation. -9=5/17n a. n=-153/5 b. n=-5/153 c. n=-17/45 d n=-45/17
To solve the equation, we can isolate n by multiplying both sides by the reciprocal of 5/17:
-9 * (17/5) = (5/17)n * (17/5)
Simplifying, we have:
-153/5 = n
So the correct answer is a. n = -153/5.
To solve the equation -9 = 5/17n, we need to isolate the variable n.
Step 1: Multiply both sides of the equation by the reciprocal of 5/17, which is 17/5. This will cancel out the fraction on the right side.
-9 * (17/5) = (5/17n) * (17/5)
Simplifying this:
-9 * 17/5 = n
Step 2: Simplify both sides of the equation further.
-153/5 = n
Therefore, the solution to the equation -9 = 5/17n is n = -153/5.
So, the correct answer is option a) n = -153/5.
To solve the equation -9 = \(\frac{5}{17}n\), we need to isolate the variable n.
Step 1: Multiply both sides of the equation by 17 to eliminate the fraction:
-9 * 17 = \(\frac{5}{17}n * 17\)
-153 = 5n
Step 2: Divide both sides of the equation by 5 to solve for n:
\(-153\) ÷ \(5\) = \(\frac{5n}{5}\)
\(-30.6 = n\)
So, the answer is n = -30.6. None of the options provided match this answer.