Help ! find x and y x + y = 2 y - x = 2 ​

Question

Help ! find x and y


`x + y = 2`

`y - x = 2`
​

Answer 1

(x, y) <=>(0, 2)

Explanation:

`x + y = 2 \\ y - x = 2 \\ \\ x + (x + 2) = 2 \\ y = x + 2 \\ \\ 2x + 2 - 2 = 2 - 2 \\ y = x + 2 \\ \\ 2x = 0 \\ y = x + 2 \\ \\ x = 0 / 2 \\ y = x + 2 \\ \\ x = 0 \\ y = 0 + 2 \\ \\ x = 0 \\ y = 2`

Answer 2

`(x,y)\rightarrow(0,2)`

Explanation:

`\displaystyle \left \{ {{x+y=2} \atop {y-x=2}} \right.\\`

Combine system of equations on both sides:

`(x+y)+(y-x)=2+2\\2y=4\\y=2`

Thus,

`x+y=2\\x+2=2\\x=0`