What is the answer to (n-6)/3 =(n-2)/9 ?

The answer to (n-6)/3 =(n-2)/9 is n=8

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(n-6)/3 =(n-2)/9

\frac{n - 6}{3} = \frac{n - 2}{9}

n = 8

Solution steps

\frac{n - 6}{3} = \frac{n - 2}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(n - 6) \cdot 9 = 3 (n - 2)

Expand

(n - 6) \cdot 9 : 9 n - 54

Expand

3 (n - 2) : 3 n - 6

9 n - 54 = 3 n - 6

Move

54

to the right side

9 n = 3 n + 48

Move

3 n

to the left side

6 n = 48

Divide both sides by

6

n = 8

6 y - 1 = 27 - y

y, x - 3 y - 7 = 0

x + 9 x = 90

y = 2 (0) - 5

x, x + 2 y - 5 z = 21