Final answer:
None of the provided ordered pairs is the solution to the system of equations y = 5x + 8 and y = 4x + 1. By solving the system using the substitution method, the solution is found to be the ordered pair (-7, -27), which is not listed in the given options.
Step-by-step explanation:
To find the solution to the system of linear equations y = 5x + 8 and y = 4x + 1, we need to look for an ordered pair (x, y) that satisfies both equations simultaneously. Let's use the substitution method to find the solution:
- Set the two equations equal to each other because they both equal y: 5x + 8 = 4x + 1.
- Solve for x: Subtract 4x from both sides to get x + 8 = 1, and then subtract 8 from both sides to get x = -7.
- Substitute x back into the first equation to find y: y = 5(-7) + 8, which simplifies to y = -35 + 8 = -27.
The ordered pair that is the solution to the system of equations is (-7, -27). However, this pair does not appear in the given options, which suggests there might be a typo in the question. None of the provided options are correct based on the equations given.