Math

Question Solve for the value of WW given the equation 28=49W28 = -\frac{4}{9}W.

Studdy Solution

STEP 1

Assumptions
1. We are given the equation 28=49W28 = -\frac{4}{9} W.
2. We need to solve for WW.

STEP 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 49-\frac{4}{9}.
W=(94)×28W = \left(-\frac{9}{4}\right) \times 28

STEP 3

Now, we calculate the right side of the equation by multiplying 94-\frac{9}{4} by 28.
W=(94)×28=9×7W = \left(-\frac{9}{4}\right) \times 28 = -9 \times 7

STEP 4

Calculate the product of 9-9 and 77.
W=9×7=63W = -9 \times 7 = -63
Therefore, the solution for WW is 63-63.

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