System of Equations
Given the system of equations:
2x - y = 7
x + y = 2
It's required to determine if the ordered pair (5, 3) is a solution to the system.
If (5, 3) is a solution to the system, then substituting x = 5 and y = 3 should satisfy both equations.
Substituting:
2(5) - 3 = 7
5 + 3 = 2
Operating:
10 - 3 = 7
5 + 3 = 2
7 = 7
8 = 2
The first equation is true, but the second is not, thus (5, 3) is not a solution to the system.