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11 January, 21:37

Are these equations infinite solution, no solution, or one solution?

1: - 14-8x=-2 (-3x+7)

2: 3+5x=5 (x+2) - 7

3: 36-7x=-7 (x-5)

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Answers (1)
  1. 11 January, 21:43
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    1) one solution

    2) Infinitely many solution

    3) no solution

    Step-by-step explanation:

    The first equation is - 14-8x=-2 (-3x+7)

    Let us expand the right hand side to get:

    -14-8x=-2*-3x+-2*7

    We multiply - 14-8x=6x-14

    We group similar terms to get:

    -8x-6x=-14+14

    Combine similar terms to get:

    -14x=0

    Divide through by - 14 to get:

    x=0

    2) The second equation is 3+5x=5 (x+2) - 7

    We expand to obtain:

    3+5x=5x+5*2-7

    Multiply to get:

    3+5x=5x+10-7

    This gives us

    3+5x=5x+3

    5x=5x

    1=1

    There is infinitely many solutions

    3) The third equation is: 36-7x=-7 (x-5)

    We expand to get:

    36-7x=-7x+35

    Group similar terms;

    -7x+7x=35-36

    0=-1

    This statement is not true so there is no solution.
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