Math

QuestionSolve for aa in the equation 15a3=9\frac{15-a}{3}=-9.

Studdy Solution

STEP 1

Assumptions1. The given equation is 15a3=9\frac{15-a}{3}=-9 . We are solving for the variable aa

STEP 2

To isolate aa, we first need to clear the fraction. We can do this by multiplying both sides of the equation by.
×15a=×9 \times \frac{15-a}{} = \times -9

STEP 3

implify both sides of the equation.
15a=2715-a = -27

STEP 4

Next, we want to isolate aa on one side of the equation. We can do this by adding aa to both sides of the equation.
15a+a=27+a15-a+a = -27+a

STEP 5

implify both sides of the equation.
15=27+a15 = -27+a

STEP 6

Finally, to solve for aa, we can add27 to both sides of the equation.
15+27=27+a+2715+27 = -27+a+27

STEP 7

implify both sides of the equation to find the value of aa.
42=a42 = aSo, the solution to the equation 15a3=9\frac{15-a}{3}=-9 is a=42a=42.

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