Question

How do you solve this system of equations: `x- y = 17 and x + y = 39`?

Answer 1

Solution: `x=28 , y=11`

Explanation:

`x-y = 17; (1) and x +y=39; (2)` Adding equation (1) and

equation (2) we get `x-cancel y +x+cancel y = 17+39 or 2x=56` or

`x=56/2=28`. Putting `x=28` in equation (1) we get,

`28-y=17 or y= 28-17=11 :. x=28 , y=11`

Solution: `x=28 , y=11` [Ans]