Respuesta :

Given:

  • x = 3/5
  • y = -2/9

To find: the value of -5y - x

Answer:

Let's substitute the values of x and y into the expression.

[tex]\sf -5\ \times\ \dfrac{-2}{9}\ -\ \dfrac{3}{5}\\\\\\=\ \dfrac{10}{9}\ -\ \dfrac{3}{5}[/tex]

The LCM of 9 and 5 is 45. Converting the fractions into fractions with denominators equivalent to 45,

[tex]\sf =\ \dfrac{10\ \times 5}{9\ \times\ 5}\ -\ \dfrac{3\ \times 9}{5\ \times\ 9}\\\\\\=\ \dfrac{50}{45}\ -\ \dfrac{27}{45}\\\\\\=\ \dfrac{23}{45}[/tex]

Therefore, the value of -5y - x when x = 3/5 and y = -2/9 is 23/45.

Hope it helps. :)