linear equations

Question

The sum of two numbers is 1717, and their difference is 11. Let x be the larger number and y be the smaller number.
(a) Write the system of equations for the problem.
(b) Find the unknown numbers by solving the system of equations graphically.

Answer 1

x+y=1717

x-y=11

add

2x=1728

x=864

864+y=1717

y=1717-864

y=853