Question

$\frac{5-x}{5} = \frac{x+3}{15}$
somebody please do this one job

Answer 1

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• $\frac{5 - x}{5} = \frac{x + 3}{15}$

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$\frac{5 - x}{5} = \frac{x + 3}{15} \\ \implies \: {5 - x} = \frac{x + 3}{3} \\ \implies \: 15 - 3x = x + 3 \\ \implies \: 15 - 3 = 3x + x \\ \implies \: 4x = 12 \\ \implies \: x = \frac{12}{4} \\ \implies \: x = 3$

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How to solve this type of equations ?

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▪ Look for the common factor of the denominator on both sides and write it in it's simplest form.

Ex- if the eq is

$\frac{x+1}{a}= \frac{x+4}{3a}$

then it can be written as

$\frac{x+1}{1}=\frac{x+4}{3}$

(where a is any number)

Further crossmultiply to get solution.

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▪If there is no common factor then simply do cross multiplication.

Ex-

$\frac{x+1}{a}=\frac{x+2}{b}$

can be written as,

${xb+b=ax+2a}$

(remember here a and b are digits or any number.)

Answer 2

Just Simplify and you’ll get the answer