Math check

Decide whether each equation has one, no solutions, or infanatly many solutions

1.) 2(x - 3) = 2x

One solution
no solutions
many solutions
infinatly many solutions

2.) 3(y - 3?) = 2y - 9 + y

One solution
no solutions
many solutions
infinatly many solutions

3.)10x - 2 - 6x = 3x -2 + x

One solution
no solutions
infinatly many solutions

4.) 4(x + 3) + 2x = x - 8

One solution
no solutions
infinatly many solutions

MY ANSWERS

1. D
2. A
3. B
4. C

asked by Josh
  1. 1. Actually it's B.
    Expanding,
    2(x - 3) = 2x
    2x - 6 = 2x
    -6 = 0
    Note that if you get an answer like this (constant = zero), there is no solution.

    2. It's D. (btw I don't know why you put question mark beside 3)
    Expanding,
    3(y - 3) = 2y - 9 + y
    3y - 9 = 3y - 9
    or
    0 = 0
    Note that if you get an answer like this (zero = zero), there are infinite solutions.

    3. It's C.
    Expanding,
    10x - 2 - 6x = 3x -2 + x
    4x - 2 = 4x - 2
    0 = 0
    (infinite solutions)

    4. It's A.
    Expanding,
    4(x + 3) + 2x = x - 8
    4x + 12 + 2x = x - 8
    6x + 12 = x - 8
    5x = -20
    x = -4
    (one solution)

    I guess you have to study these topics.
    Hope this helps :3

    posted by Jai
  2. Check your answers again.

    1. -3 = 0?

    2. 3y-9 = 3y -9 (identity)

    3. 4x-2 = 4x-2 (identity)

    4. 6x+12 = x-8

    5x = -20

    posted by PsyDAG
  3. Thank you Jai, I understand it all perfectly now.

    posted by Josh
  4. 7x+3=7x+b

    posted by Bibi

Respond to this Question

First Name

Your Answer

Similar Questions

  1. CountIblis, can i bother you

    Countiblis, i know that you might be busy do you mind if i ask you the following for help.Only if you can please. can you explain to me just one more thing so i can undestand it. Now i have an equation which is : 3x = 3x + 5 which
  2. math

    Decide whether the each equation has one solution, no solutions,or infinitely many solutions. 1. 2(x-3)= 2X A.One solution B.No solutions C.Infinitely many solutions 2. 3(y-3)= 2y-9+y A.One solution B.No solutions C.Infinitely
  3. Math

    How many real number solutions does the equation have? y=3x^2-5x-5 A)one solution B)two solutions C)no solutions D)infinitely many solutions I can't figure this question out. Any help would be amazing.
  4. math

    21.Faith solves the equation 3(7x+4)=21x+4. How many solutions does she find? A. Infinitely many solutions B. 2 solutions C. 1 solution D. 0 solutions
  5. Math

    1)How many real number solutions does the equation have? -8x^2-8x-2=0 A) One Solution B) Two Solutions C) No solutions D) Infinitely many solutions If someone could help me with this that would be great since I am confused. Thank
  6. Math

    How many real-number solutions does the equation have? –7x2 + 6x + 3 = 0 one solution two solutions*********** no solutions infinitely many solutions
  7. math

    Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x one solution no solutions infinitely many solutions 2. 3(y – 3) = 2y – 9 + y one solution no solutions infinitely
  8. math

    Decide whether each equation has one solution, no solutions, or infinitely many solutions. 1. 2(x – 3) = 2x a.one solution b.no solutions c.infinitely many solutions 2. 3(y – 3) = 2y – 9 + y a.one solution b.no solutions
  9. math

    how many real number solutions does the equation have y = -4x^2 + 7x - 8 no solutions (is it this one) one solution two solutions infinitely many solutions
  10. Math ~CHECK MY WORK PLEASE~

    Hello, Please check my answers, with stars (*) are my answers! Please check if they are wrong please tell the right answer and why it is right (explain it) so I can understand why! Thanks! For questions 1-2, solve the inequality.

More Similar Questions