Question

a rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/2. what is the number

Answer 1

hey mate!! that's your answer-

let x be the rational number

according to question,

x* 5/2 + 2/3 = -7/2

x * (15 + 4)/6 = -7/2. ( by taking LCM of 2 & 3 we get 6 as denominator)

x* 19 /6 = -7/2

$x \: = \frac{ - 7}{2} \times \frac{6}{19}$

$x = \frac{ - 21}{19}$

so rational number = -21/19

hope it was helpful!!✌️
if you like plz mark as brainliest!!

Answer 2

Hello !!


Let rational number be X.






According to the question,



X × 5/2 + 2/3 = -7/2




5X/2 + 2/3 = -7/2





15X + 4 = -7×6/2



15X + 4 = -21




15X = -25




X = -25/15



X = -5/3



Hence,


Number = X = -5/3.