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

The answer to a/3 =(a-2)/2 is a=6

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a/3 =(a-2)/2

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

a = 6

Solution steps

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

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

a \cdot 2 = 3 (a - 2)

Expand

3 (a - 2) : 3 a - 6

a \cdot 2 = 3 a - 6

Move

3 a

to the left side

- a = - 6

Divide both sides by

- 1

a = 6

3 x - 4 \geq 1 - x

x^{2} - 3 x - 4 < 0

3 x^{2} - 18 x + 15 = 0

(x + 7)^{2} = 100

x - x - 1 + x + 2 \geq 0