blakehathaway47 blakehathaway47
  • 03-07-2019
  • Mathematics
contestada

the sum of 1/5 and twice a number is equal to 4/5 subtracted from three times the number. find the number.​

Respuesta :

MattPL
MattPL MattPL
  • 03-07-2019

Answer:

1

Step-by-step explanation:

Your equation may be written as follows:

[tex]\frac{1}{5} +2n=3n-\frac{4}{5}[/tex]

Start by multiplying both sides by 5 to clear your fractions.

[tex]\frac{1}{5} +2n=3n-\frac{4}{5} \\1+10n=15n-4[/tex]

Next, subtract 10n from both sides.

[tex]1+10n=15n-4\\1=5n-4[/tex]

Add 4 to both sides.

[tex]1=5n-4\\5=5n[/tex]

Divide both sides by 5 to solve for n.

[tex]5=5n\\1=n[/tex]

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