Question

3x+1/5=2-x solve the equation and check​

Answer 1

Step-by-step explanation:

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Answer 2

The correct answer is "x = 9/20".

Step-by-step explanation:

$The \ given \ expession \ is:\\\\3x+\frac{1}{5}=2-x\\\\ On \ adding \ "x" \ both \ sides,we \ get\\\\3x+\frac{1}{5}+x=2-x+x\\\\4x+\frac{1}{5}=2\\\\On \ subtracting \ "\frac{1}{5}" \ from \ both \ sides,we \ get\\\\4x+\frac{1}{5} -\frac{1}{5}=2-\frac{1}{5}\\\\On \ taking \ LCM,we \ get\\\\4x=\frac{10-1}{5}\\\\4x=\frac{9}{5}\\\\On \ applying \ cross \ multiplication,we \ get\\\\20x=9\\\\x=\frac{9}{20}$

To verify, put the value of x in the above equation,

$3(\frac{9}{20})+\frac{1}{5}=2-\frac{9}{20}\\\\\frac{27}{20}+\frac{1}{5}=\frac{40-9}{20}\\\\\frac{27+4}{20}=\frac{31}{20}\\\\\frac{31}{20}=\frac{31}{20}$

LHS = RHS

Hence, verified.

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