Question

If (x+3)/3 = (y+2)/2 then x/3 = Please show work

Answer 1

Answer:

The value of  $\frac{x}{3}$ is $\frac{y}{2}$

Step-by-step explanation:

Given expression,  $\frac{x+3}{3}=\frac{y+2}{2}$

We have to find the value of $\frac{x}{3}$

Consider the given expression,

$\frac{x+3}{3}=\frac{y+2}{2}$

Using , $\frac{a+b}{c}=\frac{a}{c}+\frac{b}{c}$ We get,

$\Rightarrow \frac{x}{3}+1=\frac{y}{2}+1$

Simplifying further , we get,

$\Rightarrow \frac{x}{3}=\frac{y}{2}+1-1$

$\Rightarrow \frac{x}{3}=\frac{y}{2}$

Thus, the value of  $\frac{x}{3}$ is $\frac{y}{2}$

Answer 2

$\dfrac{x+3}{3} = \dfrac{y+2}{2}\\ \dfrac{x}{3} +1= \dfrac{y+2}{2}\\ \dfrac{x}{3} = \dfrac{y+2}{2}-1\\ \dfrac{x}{3} = \dfrac{y}{2}$