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23 votes
23 votes
How do u slove it 9=v+4/v+12

User Ken Goh
by
3.2k points

1 Answer

16 votes
16 votes

Solution

step 1

Write the equation.


9\text{ = }\frac{v\text{ + 4}}{v\text{ + 12}}

Step 2

Multiply both sides of the equation by v + 12.


\begin{gathered} 9*(v+12)\text{ = \lparen v+12\rparen}*(v+4)/(v+12) \\ \\ Cancel\text{ out common factors:} \\ \\ 9v\text{ + 108 = v + 4} \\ \\ 9v\text{ - v = 4 - 108} \\ \\ 8v\text{ = =-104} \\ \\ Divide\text{ both sides by 8:} \\ \\ (8v)/(8)\text{ = }(-104)/(8) \\ \\ v\text{ = -13} \end{gathered}

Final answer

v = -13

User LuKenneth
by
2.9k points