What is the answer to a/3 =(a-3)/2 ?

The answer to a/3 =(a-3)/2 is a=9

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a/3 =(a-3)/2

\frac{a}{3} = \frac{a - 3}{2}

a = 9

Solution steps

\frac{a}{3} = \frac{a - 3}{2}

Apply fraction cross multiply: if

\frac{a}{b} = \frac{c}{d}

then

a \cdot d = b \cdot c

a \cdot 2 = 3 (a - 3)

Expand

3 (a - 3) : 3 a - 9

a \cdot 2 = 3 a - 9

Move

3 a

to the left side

- a = - 9

Divide both sides by

- 1

a = 9

lo g_{2} (\frac{1}{16}) = x

8 - 5 x = 6

6 x^{2} + 17 x - 14 = 0

5 x^{2} - 2 x + 1 = 0

(1 + \frac{0.04}{2})^{\frac{1}{6}} - 1