Math, asked by aarushideb20, 1 year ago

how do I solve this question 2x/3+1=7x/15+3(its 2x by 3 and 7x by 15)

Answers

Answered by AbhijithPrakash
8

Answer:

\left(2\cdot \dfrac{x}{3}\right)+1=\left(7\cdot \dfrac{x}{15}\right)+3\quad :\quad x=10

Step-by-step explanation:

\left(2\cdot \dfrac{x}{3}\right)+1=\left(7\cdot \dfrac{x}{15}\right)+3

\gray{\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}}

2\cdot \dfrac{x}{3}+1-1=7\cdot \dfrac{x}{15}+3-1

\gray{\mathrm{Simplify}}

2\cdot \dfrac{x}{3}=\dfrac{7x}{15}+2

\gray{\mathrm{Subtract\:}\dfrac{7x}{15}\mathrm{\:from\:both\:sides}}

2\cdot \dfrac{x}{3}-\dfrac{7x}{15}=\dfrac{7x}{15}+2-\dfrac{7x}{15}

\gray{\mathrm{Simplify}}

\dfrac{x}{5}=2

\gray{\mathrm{Multiply\:both\:sides\:by\:}5}

\dfrac{5x}{5}=2\cdot \:5

\gray{\mathrm{Simplify}}

x=10

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