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Solve for w and simplify your answer. (4)/(3)w=-2 Answer:

Solve for w w and simplify your answer.\newline43w=−2 \frac{4}{3} w=-2 \newlineAnswer:

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Full solution

Q. Solve for w w and simplify your answer.\newline43w=−2 \frac{4}{3} w=-2 \newlineAnswer:
  1. Multiply by reciprocal: We are given the equation (43)w=−2(\frac{4}{3})w = -2. To solve for ww, we need to isolate ww on one side of the equation. We can do this by multiplying both sides of the equation by the reciprocal of (43)(\frac{4}{3}), which is (34)(\frac{3}{4}).
  2. Simplify left side: Multiply both sides of the equation by (34)(\frac{3}{4}) to isolate ww.34×43w=34×−2\frac{3}{4} \times \frac{4}{3}w = \frac{3}{4} \times -2
  3. Perform multiplication: Simplify the left side of the equation. The (34)(\frac{3}{4}) and (43)(\frac{4}{3}) will cancel each other out, leaving us with ww.w=(34)×−2w = \left(\frac{3}{4}\right) \times -2
  4. Simplify fraction: Perform the multiplication on the right side of the equation.\newlinew=−2×(34)w = -2 \times \left(\frac{3}{4}\right)\newlinew=−64w = -\frac{6}{4}
  5. Simplify fraction: Perform the multiplication on the right side of the equation.\newlinew=−2×(34)w = -2 \times \left(\frac{3}{4}\right)\newlinew=−64w = -\frac{6}{4} Simplify the fraction on the right side of the equation.\newlinew=−32w = -\frac{3}{2} or w=−1.5w = -1.5

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