Question

a/a+2 = 3/5 ,, can someone give me the step by step solution to this? or at least explain it to me :’)

Answer 1

Answer:

Hey There!

Let's solve...

$\frac{a}{a + 2} = \frac{3}{5}$

if a/b=c/d,then it will be a*d=b*c

Note: * means "×" or multiply

Let's continue...

$a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a$

$now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3$

So final answer is a=3

I hope it is helpful to you...

Cheers!___________

Answer 2

The value of a in the equation is 3

The equation is given as:

$\frac{a}{a+2} =\frac 35$

Start by cross multiplying the above equation

$5 \times a = 3 *(a + 2)$

Simplify each product

$5a =3a + 6$

Collect like terms

$5a -3a = 6$

Evaluate the difference

$2a = 6$

Divide both sides by 2

$a = 3$

Hence, the result of the equation is 3

Read more about equations at:

https://brainly.com/question/2972832