Final answer:
The point (5,8) does not satisfy both equations in the system; it fails to satisfy the first equation, 8x+3y=15. Hence, (5,8) is not a solution to the system of equations presented.
Step-by-step explanation:
Checking if the Point (5,8) is a Solution to the System of Equations
First, let's substitute the x and y values of point (5,8) into the first equation 8x+3y=15. Doing so, we get 8(5) + 3(8) = 40 + 24 = 64, which is not equal to 15. Therefore, the point (5,8) does not satisfy the first equation.
Let's check the second equation 20x-14y=-12. Substituting (5,8) into this equation yields 20(5) - 14(8) = 100 - 112 = -12, which does equal -12. While the point (5,8) satisfies the second equation, it does not satisfy the first one.
Since (5,8) must satisfy both equations to be a solution to the system, we can conclude that (5,8) is not a solution to the system of equations.