4 years ago

What equation is equivalent

Mathematics

1 answer:

Temka [501]4 years ago

4 0

Answer:

$\large\boxed{\dfrac{2-\frac{1}{y}}{3+\frac{1}{y}}=\dfrac{2y-1}{3y+1}}$

Step-by-step explanation:

$\dfrac{2-\frac{1}{y}}{3+\frac{1}{y}}=\left(\dfrac{2y}{y}-\dfrac{1}{y}\right):\left(\dfrac{3y}{y}+\dfrac{1}{y}\right)=\dfrac{2y-1}{y}:\dfrac{3y+1}{y}=\dfrac{2y-1}{y}\cdot\dfrac{y}{3y+1}\\\\=\dfrac{2y-1}{3y+1}$

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