Determine the number of solutions of each system of equations

x+y=6

x+2y=6

x = 6, y = 0

Step-by-step explanation:

Solve the following system:

{x + y = 6 | (equation 1)

x + 2 y = 6 | (equation 2)

Subtract equation 1 from equation 2:

{x + y = 6 | (equation 1)

0 x+y = 0 | (equation 2)

Subtract equation 2 from equation 1:

{x+0 y = 6 | (equation 1)

0 x+y = 0 | (equation 2)

Collect results:

Answer: {x = 6, y = 0