Answer:4/5 and y = 9/5.
Step-by-step explanation:We can start by substituting the second equation into the first equation, replacing y with 1/2x+8:
3x + 4(1/2x+8) = 36
Simplifying, we get:
3x + 2x + 32 = 36
Combining like terms, we get:
5x + 32 = 36
Subtracting 32 from both sides, we get:
5x = 4
Dividing both sides by 5, we get:
x = 4/5
Now that we have found x, we can substitute it back into the second equation to find y:
y = 1/2x + 8 = 1/2(4/5) + 8 = 9/5
Therefore, the solution to the system of equations is x = 4/5 and y = 9/5.