Question

X + y = k

x - y = k
The solution to the system shown is _____.
(0, k)
(2, 2)
(k, 0)

Answer 1

Hello,
Adding the 2 equations,
x+y+x-y=k+k ==>2x=2k==>x=k
if x=k, y=k-k=0
solution is (k,0)

Answer 2

(k,0)

Explanation:

`x+y=k`

`x-y=k`

To solve for x and y we add both equations

`x+y=k`

`x-y=k`

---------------------------

`2x=2k`

Divide both sides by 2

`x=k`

Now plug in k for x and find out y

`x+y=k`

`k+y=k`

Subtract k on both sides

`y=0`

Ordered pair is (x,y) that is (k,0)