Question

Solve the proportion. I need to show much work so a step by step explanation would help!

Answer 1

Solution: x=5

Explanation:

Equations

This is an equation in the form of a proportion or ratio:

`\displaystyle (2)/(x+3)=(5)/(4x)`

To solve it, we eliminate the denominators by multiplying by both of them.

Multiply by (x+3)(4x):

`\displaystyle (x+3)(4x)(2)/(x+3)=(x+3)(4x)(5)/(4x)`

Simplify both sides:

`(4x)*2=(x+3)*5`

Operate:

`8x=5x+15`

Simplify:

`3x=15`

Solve for x:

`x=15/3=5`

Solution: x=5