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Help!!!!! It’s urgent math homework

Help!!!!! It’s urgent math homework-example-1
User JakeP
by
9.1k points

1 Answer

7 votes

Answer:

x = 6

Explanation:

Given:


\displaystyle \large{x:(x+4)=3:5}

The equation can be rewritten as:


\displaystyle \large{(x)/(x+4)=(3)/(5)}

To find:

  • The value of x

First, we have to get rid of the denominator by finding the LCM which this equation’s LCM is 5(x+4). Therefore, multiply both sides by LCM:


\displaystyle \large{(x)/(x+4)\cdot 5(x+4) = (3)/(5)\cdot 5(x+4)}\\\displaystyle \large{5x=3(x+4)}

Then distribute 3 in x+4, for easier in solving the equation:


\displaystyle \large{5x=3x+12}

Subtract both sides by 3x:


\displaystyle \large{5x-3x=3x+12-3x}\\\displaystyle \large{2x=12}

Divide both sides by 2:


\displaystyle \large{(2x)/(2)=(12)/(2)}\\\displaystyle \large{x=6}

Therefore, the value of x is 6.

User Brian Riley
by
8.0k points

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