Final answer:
The solution to the system of equations is x = 29 and y = 25.5.
Step-by-step explanation:
To find the solution to the given system of equations:
9x - 10y = 6
8x - 10y = -23
9x + 10y = -16
8x + 10y = 13
We can solve this system of equations by eliminating one variable at a time.
First, let's eliminate y by multiplying the second equation by -1:
-8x + 10y = 23
Adding this equation to the first equation, we get:
9x - 8x - 10y + 10y = 6 + 23
x = 29
Substituting x = 29 into any of the original equations, we can find y:
9(29) - 10y = 6
261 - 10y = 6
-10y = 6 - 261
-10y = -255
y = -255/-10
y = 25.5
Therefore, the solution to the system of equations is x = 29 and y = 25.5.