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ludmilkaskok [199]
3 years ago
9

What is 3n-2/5=7/10 solve please

Mathematics
1 answer:
Tems11 [23]3 years ago
8 0

Answer:  \bold{n=\dfrac{11}{6}}

<u>Step-by-step explanation:</u>

\dfrac{3n-2}{5}=\dfrac{7}{10}\\\\\\10(3n-2)=5(7)\qquad \longrightarrow \quad \text{(cross multiplied)}\\\\30n-20=35\qquad \longrightarrow \quad \text{(distributed)}\\\\30n=55\qquad \longrightarrow \quad \text{(added 20 to both sides)}\\\\n=\dfrac{55}{30}\qquad \longrightarrow \quad \text{(divided 30 from both sides)}\\\\n=\dfrac{11}{6}\quad \longrightarrow \quad \text{(simplified fraction)}\\\\\\\large\boxed{n=\dfrac{11}{6}}\\

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