Question

Which ordered pair is a solution to the system of linear equations 2x - y - 80 = 0 and 5x + 6 = 2y?

Option 1: (2, 1)
Option 2: (1, 35)
Option 3: (2, 11)
Option 4: (9, 0)

Answer 1

To find which ordered pair solves the system of linear equations, the equations must be rearranged and solved for variables x and y. None of the provided options solve the given system indicating a potential mistake in the question or the options.

Step-by-step explanation:

The question asks us to determine which ordered pair is a solution to the given system of linear equations:

1. 2x - y - 80 = 0
2. 5x + 6 = 2y

First, we rewrite the second equation to isolate y: 2y = 5x + 6, which simplifies to y = 2.5x + 3. We can then substitute this expression for y in the first equation, so it becomes 2x - (2.5x + 3) - 80 = 0, and solve for x. After finding x, we substitute it back into y = 2.5x + 3 to find the matching y-value.

Upon solving, none of the given ordered pairs (2, 1), (1, 35), (2, 11), or (9, 0) fit both equations. Therefore, it is possible there may have been a mistake, as none of the options provided solve the system of equations as presented.