Final answer:
To solve the system of equations, substitute the given values of x and y into each equation and solve for the unknowns. By doing so, we find that (a) x = 1, y = 1 is a solution, while (b) x = 2, y = 0, (c) x = 0, y = 2, and (d) x = -1, y = -1 are not solutions.
Step-by-step explanation:
To solve the system of equations, substitute the given values of x and y into each equation and solve for the unknowns.
(a) x = 1, y = 1: Substitute x = 1 and y = 1 into the equations to get 1 + 2 = 3 and 2 + 1 = 3. Therefore, x = 1 and y = 1 is a solution.
(b) x = 2, y = 0: Substitute x = 2 and y = 0 into the equations to get 2 + 2 = 4 and 0 + 1 = 1. Therefore, x = 2 and y = 0 is not a solution.
(c) x = 0, y = 2: Substitute x = 0 and y = 2 into the equations to get 0 + 2 = 2 and 2 + 2 = 4. Therefore, x = 0 and y = 2 is not a solution.
(d) x = -1, y = -1: Substitute x = -1 and y = -1 into the equations to get -1 + 2 = 1 and -1 + 1 = 0. Therefore, x = -1 and y = -1 is not a solution.