Donnie24910
Answered

Which answer describes the solution to each equation?

Column a
1. x-6/2 = x+13

  1. 2+6x-7=8+2x-10+4x
  2. 3x+5=1/5(15 x+10)
  3. 1/4(16+8x)=3x-1-x+5

Column b
a. one solution
b. no solution
c. an infinite number of solutions

Which answer describes the solution to each equation? Column a 1. x-6/2 = x+13 2. 2+6x-7=8+2x-10+4x 3. 3x+5=1/5(15 x+10) 4. 1/4(16+8x)=3x-1-x+5 Column b a. one class=

Verified Answer :

  1. x-6/2 = x+13 
    multiply by 2 to eliminate fraction
    2x - 6 = 2x + 26
    -6 = 26
    therefore has no solution.

    2. 2+6x-7=8+2x-10+4x 
    2-7=8-10
    therefore has no solution.


    3. 3x+5=1/5(15 x+10) 
    5(15 x+10)(3x+5) = 1
    (75x + 50)(3x + 5 ) = 1
    225x^2 + 375x + 150x + 250 = 1
    225x^2 + 525x + 249 = 0
    this is a quadratic equation, that has 2 real solutions.

    4. 1/4(16+8x)=3x-1-x+5
    1 = (3x-1-x+5)4(16+8x)
    1 = (2x + 4)4(16 + 8x)
    1 = (8x + 16)(16 + 8x)
    1 = (8x + 16)^2
    1 = 64x^2 + 256x + 256
    64x^2 + 256x + 255 = 0
    this is a quadratic equation with two real solutions.

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