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Flura [38]
3 years ago
11

What is the solution to the linear function? 2/3x - 1/2 = 1/3 + 5/6x

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

  x = -5

Step-by-step explanation:

You are often told to start a problem like this by clearing fractions. Multiply the equation by the least common denominator of the fractions. Here, that value is 6.

  4x -3 = 2 +5x . . . . multiply the equation by 6

  -5 = x . . . . . . . . . . . add -2-4x to both sides

The solution is x = -5.

_____

If you're comfortable with arithmetic using fractions, you can "cut to the chase." Subtract 2/3x+1/3 from both sides:

  (2/3x -1/2) -(2/3x +1/3) = (1/3 +5/6x) -(2/3x +1/3)

  -1/2 -1/3 = 5/6x -2/3x . . . . simplify a little

  -5/6 = 1/6x . . . . . . . . . . . . .simplify more

  -5 = x . . . . . . multiply by 6

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Initial charges by Sanford's Plus = $125

Per hour charges = $165

Total cost of Sanford's Plus company = 125 + 165x

Initial charges by Quality Moving Company = $200

Per hour charges = $145

Total cost of Quality Moving Company = 200 + 145x

If either company were hired for hours, the total cost would be the same

125 + 165x = 200 + 145x

Add -125 on both sides

125 - 125 + 165x = 200 + 145x-125

165x = 75 + 145x

Add -145 on both sides

165x - 145x = 75

20x = 75

Divide both side by 20, to find the value of x

x = 75/20

x = 3.75 hours

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x = 12 hrs

Total cost of Sanford's Plus company = 125 + 165(12)

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5 0
3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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