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n200080 [17]
3 years ago
7

How do I solve this? Please show steps clearly so i can understand, thank you

Mathematics
1 answer:
Lesechka [4]3 years ago
3 0

Answer:

The value of x=8.

Step-by-step explanation:

Given:

\frac{x+3}{x}-\frac{x+1}{x+4}=\frac{5}{x}

We need to solve this equation.

Solution:

First combining equation having same denominators we get;

\frac{x+3}{x}-\frac{5}{x}=\frac{x+1}{x+4}

Now denominators are common so we will solve the numerators we get;

\frac{x+3-5}{x}=\frac{x+1}{x+4}\\\\\frac{x-2}{x}=\frac{x+1}{x+4}

Now by cross multiplication we get;

(x-2)(x+4)=x(x+1)

Now Applying distributive property we get;

x^2+4x-2x-8=x^2+x\\\\x^2+2x-8=x^2+x

Now Combining the like terms we get;

x^2+2x-x^2-x=8\\\\x=8

Hence on solving we get the value of x=8.

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