Question

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

Answer 1

Answer:

Solution: x=5

Step-by-step explanation:

Equations

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

$\displaystyle \frac{2}{x+3}=\frac{5}{4x}$

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

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

$\displaystyle (x+3)(4x)\frac{2}{x+3}=(x+3)(4x)\frac{5}{4x}$

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