Answer:
Explanation:
To determine whether an ordered pair is a solution to a system of equations or inequalities, we need to substitute the values for x and y into each equation or inequality and see if the resulting expression is true. If it is true for all of the equations or inequalities, then the ordered pair is a solution to the system.
Here's the step-by-step process for each ordered pair:
(1,3):
Substitute x = 1 and y = 3 into y < 4x - 1: 3 < 4(1) - 1 = 3 < 3, which is true.
Substitute x = 1 and y = 3 into y > x: 3 > 1, which is true.
Since both inequalities are true, the ordered pair (1,3) is a solution to the system y < 4x - 1 and y > x.
(0,0):
Substitute x = 0 and y = 0 into y < 4x - 1: 0 < 4(0) - 1 = -1, which is false.
Substitute x = 0 and y = 0 into y > x: 0 > 0, which is false.
Since at least one inequality is false, the ordered pair (0,0) is not a solution to the system y < 4x - 1 and y > x.