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  • 15-10-2015
  • Mathematics
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How many solutions does 3.5y - 12 = 1.5(y - 2) have?

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  • 15-10-2015
3.5y - 12 = 1.5(y - 2)

First, expand to remove parentheses.
[tex]3.5y - 12 = 1.5y - 3[/tex]
Second, add '12' to both sides.
[tex]3.5y = 1.5y - 3 + 12[/tex]
Third, simplify '-3 + 12' to get '9'.
[tex]3.5y = 1.5y + 9[/tex]
Fourth, subtract '1.5y' from both sides.
[tex]3.5y - 1.5y = 9[/tex]
Fifth, subtract '3.5y - 1.5y' to get '2y'.
[tex]2y = 9[/tex]
Sixth, divide both sides by '2'.
[tex]y = \frac{9}{2} [/tex]

Answer: 1 solution
Answer as fraction: [tex] \frac{9}{2} [/tex]
Answer as decimal: [tex]4.5[/tex]

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