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Linear Equations in One Variable
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04/08/2021 11:55 am
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A rational number is such that when you multiply it by 5/2 and add 2/3 to the product, you get -7/12. What is the number?
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04/08/2021 11:56 am
Let the rational be x.
According to the question,
x × (5/2) + 2/3 = -7/12
⇒ 5x/2 + 2/3 = -7/12
⇒ 5x/2 = -7/12 – 2/3
⇒ 5x/2 = (-7- 8)/12
⇒ 5x/2 = -15/12
⇒ 5x/2 = -5/4
⇒ x = (-5/4) × (2/5)
⇒ x = – 10/20
⇒ x = -1/2
Therefore, the rational number is -1/2.