Question

Help!!!!! It’s urgent math homework

Answer 1

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.