To determine if the point (5, 7) is a solution to the system of equations y = 3x - 8 and y = 2x - 3, we can substitute the values of x and y from the point into both equations and check if they are satisfied.
Let's substitute x = 5 and y = 7 into both equations:
For the equation y = 3x - 8:
7 = 3(5) - 8
7 = 15 - 8
7 = 7
The equation is satisfied.
For the equation y = 2x - 3:
7 = 2(5) - 3
7 = 10 - 3
7 = 7
The equation is also satisfied.
Since both equations are satisfied when we substitute x = 5 and y = 7, we can conclude that (5, 7) is indeed a solution to the system of equations y = 3x - 8 and y = 2x - 3.