math

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Help pllsss ASAP!!!
have certain answers!! i try but i do not understand! help asap! give answers and walkthrough problems for me!

1. 2(x - 3) = 2x (1 point)
one solution
no solutions
infinitely many solutions

2. 3(y - 3) = 2y - 9 + y (1 point)
one solution
no solutions
infinitely many solutions

3. 10x - 2 - 6x = 3x - 2 + x
one solution
no solutions
infinitely many solutions

4. 4(x +3) + 2x = x - 8
one solution
no solutions
infinitely many solutions

Thank you!!

  • math -

    If you end up with
    some x equals something, then there will be one solution
    e.g. #4
    4(x+3)+2x = x-8
    4x + 12 + 2x = x-8
    5x = -20 ----> some x equals something
    x = -4 -----> one solution

    if your x term drops out, and you end up with a true statement, there will be an infinite number of solutions
    if your x drops out, but you end up with a False statement, there is no solution.

    e.g. #2
    3(y-9) = 2y - 9 + y
    3y - 27 = 3y - 9
    -27 = -9 , what do you think, is it true or false ??

    do the others the same way

  • math -

    1.

    2 ( x - 3 ) = 2 x

    2 * x - 2 * 3 = 2 x

    2 x - 6 = 2 x subtract 2 x to both sides

    2 x - 6 - 2 x = 2 x - 2 x

    - 6 = 0

    False.

    No solutions


    2.

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

    3 * y - 3 * 3 = 2 y - 9 + y

    3 y - 9 = 3 y - 9

    True for all values of y.

    infinitely many solutions


    3.

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

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

    4 x - 2 = 4 x - 2

    True for all values of x.

    infinitely many solutions


    4.

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

    4 * x + 4 * 3 + 2 x = x - 8

    4 x + 12 + 2 x = x - 8

    6 x + 12 = x - 8 Subtract x to both sides

    6 x + 12 - x = x - 8 - x

    5 x + 12 = - 8 Subtract 12 to both sides

    5 x + 12 - 12 = - 8 - 12

    5 x = - 20 Divide both sides by 5

    5 x / 5 = - 20 / 5

    x = - 4

    one solution

  • math -

    Thank you sooooo much guys!!! Got 100%!

  • math -

    B
    C
    C
    A
    100%
    Trust me

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