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

Answer:

(k,0)

Step-by-step 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)