What is the answer to (k+4)/2 =(k+9)/3 ?

The answer to (k+4)/2 =(k+9)/3 is k=6

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(k+4)/2 =(k+9)/3

\frac{k + 4}{2} = \frac{k + 9}{3}

k = 6

Solution steps

\frac{k + 4}{2} = \frac{k + 9}{3}

Apply fraction cross multiply: if

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

then

a \cdot d = b \cdot c

(k + 4) \cdot 3 = 2 (k + 9)

Expand

(k + 4) \cdot 3 : 3 k + 12

Expand

2 (k + 9) : 2 k + 18

3 k + 12 = 2 k + 18

Move

12

to the right side

3 k = 2 k + 6

Move

2 k

to the left side

k = 6

\frac{x}{5} - \frac{x}{2} = 1

x, - 25 x + y = 65

6 a x + 2 b = 0

16.8 - v = 6 v

7 x - 5 = 3 x + 11