Question

solve for x.
-8 = 6/x
simplify your answer as much as possible.
x =

Explanation:

Step1: Cross - multiply to eliminate the fraction

Given the equation \(-8=\frac{6}{x}\), we can multiply both sides of the equation by \(x\) (assuming \(x
eq0\)) to get \(-8x = 6\).

Step2: Solve for \(x\)

Divide both sides of the equation \(-8x=6\) by \(-8\). So \(x=\frac{6}{-8}\).

Step3: Simplify the fraction

Simplify \(\frac{6}{-8}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 2. We get \(x =-\frac{3}{4}\).

Answer:

\(x =-\frac{3}{4}\)