Final answer:
The correct solution to the given system of equations is not listed among the options provided. By substitution and solving, none of the choices (7, 5), (5, 1), (2, 7), or (1, -1) satisfy both equations, indicating a possible mistake in the question or the answer choices.
Step-by-step explanation:
The solution to the system of equations x = 2y + 3 and 14x - 5y = 9 can be found by substituting the expression for x from the first equation into the second equation. This will yield a single equation in terms of y, which can then be solved. After finding the value of y, you can use it to find the value of x using the first equation. Checking the options given, only one pair will satisfy both equations.
Substituting x from the first equation into the second equation gives:
14(2y+3) - 5y = 9
Simplify to get:
28y + 42 - 5y = 9
23y = -33
y = -33/23
Using the found value of y in the first equation:
x = 2(-33/23) + 3
None of the given options match these values, indicating a possible error in the question or the provided options.