Question

find the value of x such that rational numbers are equivalent. 15/x , 5/6​

Answer 1

Step-by-step explanation:

To find x such that rational numbers in

each of the following pairs are equivalent

$\huge\underline\bold\green{Given}$

$\implies\sf \frac{x}{12} and \frac{5}{6}⟹$

$\implies\sf \frac{15}{x} and \frac{-3}{8}⟹$

x

15

$\huge\underline\bold\pink{Answer}$

Answer

1) x = 10

2) x = -40

$\huge\underline\bold\blue{Explanation}$

Explanation

first, we have to do cross multiplication:—

⠀⠀⠀⠀⠀⠀⠀⠀⠀(1)

$\implies\sf \frac{x}{12} and \frac{5}{6}⟹$

$\implies\sf⟹ x × 6= 5 × 12$

$\implies\sf⟹ x = 6 × \frac{12}{5}$

$\implies\sf⟹ 5× 2 = 10$

$\implies\sf⟹ x = 10$

⠀⠀⠀⠀⠀⠀⠀⠀⠀(2)

$\implies\sf⟹ 15×8 = (-3)× x$

$\implies\sf⟹ x= \frac{8}{-3}$

$\implies\sf⟹ -5 × 8= -40$

$\implies\sf⟹ x = -40$