Question

x + y = k
x - y = k

The solution of the system shown is _____.

Answer 1

Answer:

x=k and y = 0

Step-by-step explanation:

Use elimination method to solve the equation. We will eliminate variable y

x + y = k

x - y = k

_______

2x    = 2k

Divide both sides by 2

x=k

Now put the value of x in any equation. We will put the value is equation 1

x+y=k

k+y=k

Now move variable x to the R.H.S

y=k-k

y=0

Thus the solution of the system is x=k and y=0....