Math, asked by hars04musicqueen, 9 months ago

2x/3+1=7x/15+3.pls do it fast now I want to submit​

Answers

Answered by Anonymous
1

Answer:

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Step-by-step explanation:

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Answered by Rohith200422
2

Question:

Solve :

 \frac{2x}{3}  + 1 =  \frac{7x}{15} + 3

To find:

★ To find the value of x .

Answer:

The \: value \: of \:  \underline{ \: \underline{ \: \sf \pink{ \bf{x \: is \:  10}} \: } \: }

Given:

★ An expression is given.

Step-by-step explanation:

 \frac{2x}{3}  + 1 =  \frac{7x}{15} + 3

In,

L.H.S. L.C.M is 3

R.H.S. L.C.M is 15

\implies  \frac{2x + 3}{ \not{3 _{1} }}  =  \frac{7x + 45}{ \not{15 _{5} } }

\implies 2x + 3 =  \frac{7x + 45}{5}

Now, cross multiplying

\implies 5(2x + 3) = 7x + 45

\implies 10x + 15 = 7x + 45  ----> ( 1 )

\implies 10x - 7x = 45 - 15

\implies 3x = 30

\implies  \boxed{x = 10}

\therefore  The \: value \: of \:  \underline{ \: \bf{x \: is \:  10} \: }

Verification:

Now substituting the value of x = 10 in eq ( 1 )

\implies 10(10) + 15 = 7(10) + 45

\implies 100 + 15 = 70 + 45

\implies  \boxed{115 = 115}

L.H.S=  R.H.S

Hence \: verified.

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