Final answer:
To find the solution to a system of linear equations, substitute the values from each option into the equations and check if they satisfy both equations. Option B (-4,3) is the solution that satisfies both equations.
Step-by-step explanation:
To find which ordered pair is a solution to the system of linear equations -4x + y = 8 and x - 5y = 17, we can substitute the values from each option into the equations and check if they satisfy both equations.
Option A: Substitute x = -4 and y = -3 into the equations:
-4(-4) + (-3) = 8
-4 + (-3) = 17
Neither of the equations are satisfied, so option A is not a solution.
Option B: Substitute x = -4 and y = 3 into the equations:
-4(-4) + (3) = 8
-4 + (3) = 17
Both of the equations are satisfied, so option B is a solution.
By checking the remaining options, we can see that option C and D do not satisfy both equations. Therefore, the correct answer is option B.