Example
Problem
Is the point (2, 1) a solution of the system x + y > 1 and 2x + y < 8?
x + y > 1
2 + 1 > 1
3 > 1
TRUE
(2, 1) is a solution for x + y > 1.
2x + y < 8
2(2) + 1 < 8
4 + 1 < 8
5 < 8
TRUE
(2, 1) is a solution for 2x + y < 8.
Check the point with each of the inequalities. Substitute 2 for x and 1 for y. Is the point a solution of both inequalities?
Answer
The point (2, 1) is a solution of the system
x + y > 1 and 2x + y < 8.
Since (2, 1) is a solution of each inequality, it is also a solution of the system.