Question

A rational number such as 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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Answer 1

Let the number be x

According to question,

$\hookrightarrow \sf{x( \frac{5}{2} ) + \frac{2}{3} = \frac{ - 7}{12} } \\ \\ \hookrightarrow \sf{ \frac{5x}{2} = \frac{ - 7}{12} - \frac{2}{3} } \\ \\ \bold \circ\rightarrowtail \sf{lcm \: is \: 12} \\ \\ \hookrightarrow \sf{ \frac{5x}{2} = \frac{ - 7 \times 1 - 2 \times 4}{12} } \\ \\ \hookrightarrow \sf{ \frac{5x}{2} = \frac{ - 15}{12} } \\ \\ \hookrightarrow \sf{x = \frac{ - \cancel{15 }\times \cancel{2}}{ \cancel{12}\times \cancel{5}} } \\ \\ \hookrightarrow \sf \pink{x = \frac{ - 1}{2} }$

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Answer 2

Answer:

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