Question

Evaluate the expression -5y-x when x=3/5 and y=-2/9

Answer 1

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.

`\sf -5\ *\ (-2)/(9)\ -\ (3)/(5)\\\\\\=\ (10)/(9)\ -\ (3)/(5)`

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

`\sf =\ (10\ * 5)/(9\ *\ 5)\ -\ (3\ * 9)/(5\ *\ 9)\\\\\\=\ (50)/(45)\ -\ (27)/(45)\\\\\\=\ (23)/(45)`

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

Hope it helps. :)