X+ y = k
x - y = k
the solution of the system shown is

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

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2