X + y = 9 y-x=1 What are the values of x and y?

Question

`x + y = 9 y-x=1`

What are the values of x and y?

Answer 1

x =
`(4)/(5)`, y =
`(1)/(5)`

Explanation:

Express as 2 equations, that is

x + y = 1 → (1)

- x + 9y = 1 → (2)

Add the 2 equations term by term to eliminate x, that is

10y = 2 ( divide both sides by 10 )

y =
`(2)/(10)` =
`(1)/(5)`

Substitute this value into (1) and solve for x

x +
`(1)/(5)` = 1 ( subtract
`(1)/(5)` from both sides )

y =
`(5)/(5)` -
`(1)/(5)` =
`(4)/(5)`