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  • 25-04-2019
  • Mathematics
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How many solutions exist for the given equation? 0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

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kudzordzifrancis
kudzordzifrancis kudzordzifrancis
  • 25-04-2019

Answer:

One solution

Step-by-step explanation:

The given equation is;

0.75(x + 40) = 0.35(x + 20) + 0.35(x + 20)

Multiply through by 100

75(x + 40) = 35(x + 20) + 35(x + 20)

Combine the right hand side

75(x + 40) = 70(x + 20)

Expand the parenthesis

75x +3000  = 70x + 1400

Group similar terms;

75x -70x =1400-3000

5x=-1600

Divide both sides by 5

x=-320

There exist only one solution

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