What is the answer to (n-4)/6 =(n-7)/9 ?

The answer to (n-4)/6 =(n-7)/9 is n=-2

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(n-4)/6 =(n-7)/9

\frac{n - 4}{6} = \frac{n - 7}{9}

n = - 2

Solution steps

\frac{n - 4}{6} = \frac{n - 7}{9}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(n - 4) \cdot 9 = 6 (n - 7)

Expand

(n - 4) \cdot 9 : 9 n - 36

Expand

6 (n - 7) : 6 n - 42

9 n - 36 = 6 n - 42

Move

36

to the right side

9 n = 6 n - 6

Move

6 n

to the left side

3 n = - 6

Divide both sides by

3

n = - 2

\frac{2 x}{4 π} + \frac{1 - x}{2} = 0

x, y = f (x - 3) + 2

9 = - \frac{7}{10} a - 12

\frac{5 r}{2} - 6 = 19

r, r - rs = 2 rs + 5