EXPLANATION
Given the point (2,3) and the system of equations:
y = 2x - 1
y = x + 1
We can equal bot equation in order to know if the point is a solution of the system.
2x - 1 = x + 1
Subtracting -x to both sides:
2x - 1 - x = 1
Adding +1 to both sides:
2x - x = 1 + 1
Subtracting and adding like terms:
x = 2
Replacing x=2 in one equation:
y= 2*2 -1
Computing:
y = 4 - 1 = 3
In conclusion, the point (2,3) is a solution of the system of equations.