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11 March, 07:19

1. how many solutions does - 3x + 32 - 7x = - 2 (5x + 10) have?

a. infinitely

b. one

c. none

2. how many solutions does 3 (x - 14) + 1 = - 4x + 5 have?

+3
Answers (2)
  1. 11 March, 08:38
    0
    1.) none

    2.) 46/7
  2. 11 March, 09:04
    0
    Solve each equation for x

    1.

    -3x + 32 - 7x = - 2 (5x + 10)

    -3x+32-7x = - 2*5x + -2*10 Distribute the - 2 on the right

    -3x+32-7x = - 10x - 20

    (-3x-7x) + 32 = - 10x-20 Combine like terms

    -10x+32=-10x-20

    -10x+10x + 32 = - 10x+10x - 20 Add 10x to both sides

    32=-20

    Since this statement is not true, this equation has no solutions.

    2.

    3 (x - 14) + 1 = - 4x + 5

    3*x + 3*-14 + 1 = -4x+5 Distribute the 3 on the left

    3x-42+1 = - 4x+5

    3x-41 = - 4x+5 Combine like terms

    3x+4x-41 = - 4x+4x+5 Add 4x to both sides

    7x-41=5

    7x-41+41=5+41 Add 41 to both sides

    7x=46

    7x/7=46/7 Divide both sides by 7

    x=46/7

    This equation has one solution, 46/7
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