Question

Solve for w. -6=(3)/(w) Simplify your answer as much as possible.

Answer 1

To solve for w in the equation -6 = (3/w), multiply both sides by w, then divide by -6, resulting in w = -1/2, which can be confirmed by substituting it back into the original equation.

Step-by-step explanation:

The question requires solving the equation -6 = (3/w) for the variable w. This involves algebraic manipulation to isolate w. The steps are as follows:

1. Multiply both sides of the equation by w to eliminate the denominator: -6 * w = 3.
2. Divide both sides of the resultant equation by -6 to solve for w: w = 3 / -6.
3. Simplify the fraction to get the final answer: w = -1/2.

Checking the answer is reasonable by substituting w = -1/2 back into the original equation confirms that both sides are equal, thus verifying the solution.