Respuesta :

semsee45

Answer:

[tex]\dfrac{x}{3}=\dfrac{y}{2}[/tex]

Step-by-step explanation:

[tex]\begin{aligned}\dfrac{x+3}{3} & = \dfrac{y+2}{2}\\\\\implies \dfrac{x}{3}+\dfrac{3}{3} & = \dfrac{y}{2}+\dfrac{2}{2}\\\\\dfrac{x}{3}+1 & = \dfrac{y}{2}+1\\\\\dfrac{x}{3}+1-1 & = \dfrac{y}{2}+1-1\\\\\dfrac{x}{3} & = \dfrac{y}{2}\end{aligned}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x+3}{3}=\dfrac{y+2}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3}+1=\dfrac{y+2}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3}=\dfrac{y+2}{2}-1[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3}=\dfrac{y+2-2}{2}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{x}{3}=\dfrac{y}{2}[/tex]

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