Question

Solve the system and find the values of x and y

Answer 1

x =
`((a+b))/(2)`

`y=(a-b)/(2)`

Explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

(x + y) + (x - y) = a + b

2x = a + b

x =
`((a+b))/(2)`

By substituting these values in equation (2),

x - y = b

`(a+b)/(2)-y=b`

`(a+b)/(2)-b=y`

`(a+b-2b)/(2)=y`

`(a-b)/(2)=y`