Math, asked by vikasgoud08, 1 month ago

x/3+1=7/15 solve the equation ​

Answers

Answered by arjun198gupta
1

Step-by-step explanation:

1. Identify the speaker.

3. What was the mission of Sasthrayaan? 4. What was the topic of the speaker’s address?

5. Why did the speaker call his audience ‘mixed’? need help ASAP

Answered by Anonymous
3

\longrightarrow{\green{}}  \frac{x}{3}  + 1 =  \frac{7}{15}  \\

Subtracting both sides by 1, we get

\longrightarrow{\green{}}  \frac{x}{3}  =  \frac{7}{15}  - 1 \\

Taking L. C. M. for the denominators of R. H. S. gives us

\longrightarrow{\green{}}  \frac{x}{3}  =  \frac{7}{15}  -  \frac{1 \times 15}{1 \times 15} \\

\longrightarrow{\green{}}  \frac{x}{3}  =  \frac{7 - 15}{15}  \\

\longrightarrow{\green{}}  \frac{x}{3}  =  \frac{ - 8}{15}  \\

Now, multiply both sides by 3.

\longrightarrow{\green{}} x =   \frac{ - 8}{5}  \\

\longrightarrow{\green{}} x =  - 1.6

Therefore, the value of x is \boxed{   -1.6 }.

Let us verify:

\longrightarrow{\green{}}  \frac{x}{3}  + 1 =  \frac{7}{15}  \\

\longrightarrow{\green{}}  \frac{ - 1.6}{3}  + 1 = 0.467 \\

\longrightarrow{\green{}}  - 0.533 + 1 = 0.467

\longrightarrow{\green{}}  - 0.467 = 0.467

\longrightarrow{\green{}} L. H. S. = R. H. S.

Hence it is verified.

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