Question

solve the following equation also verify the solution 5-x/5+x =4/5​

Answer 1

Answer:

here's your answer

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Answer 2

Answer:

-6.5625 = x

Step-by-step explanation:

This is what i interpreted out of the question :

$5-\frac{x}{(5+x)}=\frac{4}{5}\\\\\\\frac{5}{1}-\frac{4}{5}=\frac{x}{(5+x)}\\\\\\\frac{25-4}{5}=\frac{x}{(5+x)}\\\\\\\frac{21}{5}=\frac{x}{(5+x)}\\\\\\Cross~Multiplication\\\\\\21(5+x)=5(x)\\\\\\105+21x=5x\\\\\\105=5x-21x\\\\\\105=-16x\\\\\\\frac{105}{16}=-x\\\\\\6.5625=-x\\\\\\-6.5625=x~~~[required~answer]$

Verifying the Answer :

$5-\frac{x}{(5+x)}=\frac{4}{5}\\\\\\5-\frac{(-6.5625)}{(5+(-6.5625))}=\frac{4}{5}\\\\\\5-\frac{(-6.5625)}{5-6.5625}=\frac{4}{5}\\\\\\5-\frac{(-6.5625)}{-1.5625}=\frac{4}{5}\\\\\\5-\frac{6.5625}{1.5625}=\frac{4}{5}\\\\\\(\frac{4}{5}~when~divided~=~0.8)~and~(\frac{6.5625}{1.5625}~when~divided~=~4.2)\\\\\\5-4.2=0.8\\\\\\0.8=0.8\\\\\\L.H.S=R.H.S\\\\\\Hence~proved.$

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