Homework Help

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

user profile pic

dhpattillo | eNotes Newbie

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

dislike 1 like

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

9 Answers | Add Yours

user profile pic

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

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

dislike 1 like

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

user profile pic

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

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

dislike 1 like

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

user profile pic

hsato | eNotes Employee

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

dislike 1 like

3y-2=19

3y-2+2=19+2

3y=21

3y/3=21/3

y=7

user profile pic

burnzie77 | Student, Grade 11 | eNotes Newbie

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

dislike 0 like

3y-2=19

user profile pic

neon-ice-cream | Student, Grade 9 | Honors

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

dislike 0 like

3y+2=19

user profile pic

revolution | College Teacher | Valedictorian

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

dislike 0 like

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 //

user profile pic

Wiggin42 | TA , Grade 11 | Valedictorian

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

dislike 0 like

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

user profile pic

atyourservice | TA , Grade 10 | Valedictorian

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

dislike 0 like

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

user profile pic

givingiswinning | TA , Grade 10 | Valedictorian

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

dislike 0 like

3y-2=19

3y-2+2=19+2

3y=21

3y/3=21/3

y=7

Join to answer this question

Join a community of thousands of dedicated teachers and students.

Join eNotes