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Put in algebraic equation: The difference of 3 times a number y and 2 equals 19.  I...

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dhpattillo | eNotes Newbie

Posted January 27, 2009 at 9:38 AM via web

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Put in algebraic equation: The difference of 3 times a number y and 2 equals 19.

 

I can't figure this out to help my daughter. Thanks

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lynn30k | High School Teacher | (Level 3) Associate Educator

Posted January 27, 2009 at 10:18 AM (Answer #1)

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3y-19=2

It is worded a little strangely, but what they are saying is that 3 times the unknown number is 19 more than 2.

Add 19 to each side of the equation; you then have 3y=21.

Divide each side by 3, and y=7

You could also look at it as 3y-2=19; add 2 to each side, and once again you have 3y=21

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ladyvols1 | High School Teacher | (Level 3) Senior Educator

Posted January 27, 2009 at 10:25 AM (Answer #2)

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The concept of three times a number y and two equals 19 is simply written as

3y+2 = 19

To find the solution to this equasion you simply subtract 2 from each side which leaves you with 3y=17 .  At this juncture you divide each side by 3 and that gives you Y=17/3

The soultion would be  Y= 5 2/3

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hsato | eNotes Employee

Posted January 28, 2009 at 2:52 AM (Answer #3)

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3y-2=19

3y-2+2=19+2

3y=21

3y/3=21/3

y=7

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burnzie77 | Student, Grade 11 | eNotes Newbie

Posted January 27, 2009 at 10:28 AM (Answer #4)

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3y-2=19

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neon-ice-cream | Student, Grade 9 | (Level 1) Honors

Posted January 28, 2009 at 4:18 AM (Answer #5)

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3y+2=19

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revolution | College Teacher | (Level 1) Valedictorian

Posted July 31, 2010 at 7:36 PM (Answer #6)

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The equation would be 3y+2=19

If you want to know the solution of the alegbraic equation, here it is:

3y+2=19

3y+2-2=19-2 (-2)

3y=17

3y/3=17/3 (divide 3)

y= 5 2/3 //

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Wiggin42 | Student, Grade 11 | (Level 2) Valedictorian

Posted March 23, 2014 at 4:14 PM (Answer #7)

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The difference of 3 times a number y and 2 equals 19.

Difference = subtraction

times = multiplication 

3 times a number y = 3y 

Difference of 3 times a number y and 2 = 3y - 2

This equal 19 so 

3y - 2 = 19

To solve: 

3y = 19 + 2 = 21

y = 21/3 = 7

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atyourservice | Student, Grade 10 | (Level 3) Valedictorian

Posted May 29, 2014 at 12:08 AM (Answer #8)

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The difference of 3 times a number y and 2 equals 19

3y - 2 = 19

move like terms to the same side

3y = 19 + 2

3y = 21

divide by 3

y = 7

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givingiswinning | Student, Grade 10 | (Level 1) Valedictorian

Posted August 16, 2014 at 12:47 AM (Answer #9)

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3y-2=19

3y-2+2=19+2

3y=21

3y/3=21/3

y=7

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jess1999 | TA , Grade 9 | (Level 1) Valedictorian

Posted September 30, 2014 at 1:31 AM (Answer #10)

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The difference of 3 times a number y and 2 equals 19 . 

So first by reading this problem , we can tell that 2 and " y "  are multiplied . Later on we can tell that we want to find the difference of 3 times y and 2 . By doing that it would look like

3y - 2 We also know that we want the equation to equal to 19 , so it would look like

3y - 2 = 19 now we can solve this equation , first add 2 on both sides

By adding 2 on both sides , you should get 

3y = 21 now we can divide both sides by 3 ,

by dividing both sides by 3 , you should get 

y = 7 which is your answer

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malkaam | TA , Undergraduate | (Level 1) Valedictorian

Posted October 14, 2014 at 6:13 PM (Answer #11)

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The difference of 3 times a number y and 2 equals 19.

difference=subtract

times=multiply

y=?

i.e,

3y-2=19

3y=19+2

3y=21

y=21/3

y=7 Answer.

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