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  • 06-10-2015
  • Mathematics
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How many solutions does the equation have? a+5=1/5(5a+25)

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Exvited
Exvited Exvited
  • 06-10-2015
a + 5 = [tex] \frac{1}{5} [/tex] (5a + 25)

First, simplify [tex] \frac{1}{5} (5a + 25)[/tex] to [tex] \frac{5a+25}{5} [/tex] / Your problem should look like: [tex]a + 5 = \frac{5a+25}{5} [/tex]
Second, multiply both sides by 5. / Your problem should look like: [tex]5a + 25 = 5(a + 5)[/tex]
Third, expand to get rid of parenthesis. / Your problem should look like: [tex]5a + 25 = 5a + 25[/tex]
Fourth, both sides are equal, resulting it having infinite solutions.

Answer: infinite solutions

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