Final answer:
The point (5,8) does not satisfy both equations in the system (8x - 3y = 15 and 20x - 14y = -12), therefore it is not a solution.
Step-by-step explanation:
To determine if the point (5,8) is a solution to the system of equations:
- 8x - 3y = 15
- 20x - 14y = -12
We need to substitute the x-value and the y-value into both equations to check for equality.
For the first equation 8x - 3y = 15:
8(5) - 3(8) = 40 - 24 = 16, which does not equal 15. Therefore, (5,8) is not a solution to the first equation.
For the second equation 20x - 14y = -12:
20(5) - 14(8) = 100 - 112 = -12, and this equals -12. So, the point (5,8) satisfies the second equation but not the first.
Since (5,8) does not satisfy both equations, it is not a solution to the system of equations.