Answered

Find the solution to the following equations below and identify either one solution, no solution or infinite solutions. Be able to explain your choice.
3(x+4)=3x+11
-2(x+3)=-2x-6
4(x-1) = 1/2(x-8)
3x-7=4+6 +4x

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Answer:

  • no solution
  • infinite solutions
  • one solution
  • one solution

Step-by-step explanation:

3(x+4)=3x+11

  3x +12 = 3x +11

  1 = 0 . . . . . . . . . . subtract 3x+11 from both sides. NO SOLUTION

No value of the variable will make this true.

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-2(x+3)=-2x-6

  -2x -6 = -2x -6

  0 = 0 . . . . . . . . . add 2x+6 to both sides. INFINITE SOLUTIONS

True for every value of the variable.

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4(x-1) = 1/2(x-8)

  4x -4 = 1/2x -4

  (3 1/2)x = 0 . . . . . . add 4-1/2x to both sides

  x = 0 . . . . . ONE SOLUTION

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3x-7=4+6 +4x

  -17 = x . . . . . . . . . . add -10-3x to both sides. ONE SOLUTION