Asked by Nitin
When 1 is subtracted from 5 times a number and a result is divided by 3 more than twice the number we get 4/5.find the number.
Answers
Answered by
Bosnian
( 5 x - 1 ) / ( 2 x + 3 ) = 4 / 5 Multiply both sides by 5
5 ( 5 x - 1 ) / ( 2 x + 3 ) = 4 Multiply both sides by ( 2 x + 3 )
5 ( 5 x - 1 ) = 4 ( 2 x + 3 )
5 x * 5 - 1 * 5 ) = 2 x * 4 + 3 * 4
25 x - 5 = 8 x + 12 Add 5 to both sides
25 x - 5 + 5 = 8 x + 12 + 5
25 x = 8 x + 17 Subtract 8 x to both sides
25 x - 8 x = 8 x + 17 - 8 x
17 x = 17 Divide both sides by 17
x = 1
Proof:
( 5 x - 1 ) / ( 2 x + 3 ) =
( 5 * 1 - 1 ) / ( 2 * 1 + 3 ) =
( 5 - 1 ) / ( 2 + 3 ) =
4 / 5
5 ( 5 x - 1 ) / ( 2 x + 3 ) = 4 Multiply both sides by ( 2 x + 3 )
5 ( 5 x - 1 ) = 4 ( 2 x + 3 )
5 x * 5 - 1 * 5 ) = 2 x * 4 + 3 * 4
25 x - 5 = 8 x + 12 Add 5 to both sides
25 x - 5 + 5 = 8 x + 12 + 5
25 x = 8 x + 17 Subtract 8 x to both sides
25 x - 8 x = 8 x + 17 - 8 x
17 x = 17 Divide both sides by 17
x = 1
Proof:
( 5 x - 1 ) / ( 2 x + 3 ) =
( 5 * 1 - 1 ) / ( 2 * 1 + 3 ) =
( 5 - 1 ) / ( 2 + 3 ) =
4 / 5
Answered by
sMOKI£
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Answered by
sMOKI£
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