Question

a rational number is such that when you multiply it by 2 \3 and add 5\ 3 to the product you get -9\ 3 what is the number
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Answer 1

Answer:

$x \times \frac{2}{3} + \frac{5}{ 3} = \frac{ - 9}{3} \\ (\frac{2x}{3}) + \frac{5}{3} = \frac{ - 9}{3} \\ (\frac{2}{3})x = \frac{ - 9}{3} - \frac{5}{3} \\ ( \frac{2}{3})x = \frac{ - 14}{3} \\ x = \frac{ - 14}{3} \div \frac{2}{3} \\ now \: reciprocal \\x = \frac{ - 14}{3} \div \frac{3}{2} \\ now \: cross \: division \\ and \: answer \: is \: \\x = \frac{ - 7}{1} \\ i \: hope \: this \: answer \: is \: right$