Question

hey guys..
plz answer fast..
a rational number is such that when you multiply it by 5 /2 and add 2 /3 to the product you will get -7/12 what is the number
plz answer fast..
with method... ​

Answer 1

Answer:subtract 2 /3first

Then multiply2/5

You will get -1/2

Mark brainliest

Step-by-step explanation:

Answer 2

$Let \: the \: rational \: number \: be \: 'x'. \\ \\ Now \: according \: to \: the \: question, \\ \: \: \: \: \: \: \: x \times ( \frac{5}{2} ) + \frac{2}{3} = - \frac{7}{12} \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{5x}{2} = - \frac{7}{12} - \frac{2}{3} \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{5x}{2} = \frac{ - 7 - 8}{12} \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \frac{5x}{2} = \frac{ - 15}{12} \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{ - 15}{12} \times \frac{2}{5} \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{ - 30}{60} \\ = > \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = \frac{ - 1}{2}$

$So \: the \: required \: rational \: number \: is \:$$\huge{\frac{ - 1}{2}}$