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

To solve the system of equations, we can use the method of elimination. Adding the two equations together, we get:<br /><br />$x + y + x - y = k + k$<br /><br />$2x = 2k$<br /><br />$x = k$<br /><br />Substituting this value back into either equation, we can solve for y:<br /><br />$k + y = k$<br /><br />$y = 0$<br /><br />Therefore, the solution to the system of equations is $(k, 0)$.