Answer:
The solution to the system of equations is x = 6 and y = 4.
Step-by-step explanation:
To solve this system of equations, we can use the method of substitution.
First, solve the second equation for y:
2x - y = 8
-y = 8 - 2x
y = 2x - 8
Now substitute this value of y into the first equation:
3x + 4(2x - 8) = 34
3x + 8x - 32 = 34
11x - 32 = 34
11x = 66
x = 66/11
x = 6
Now substitute this value of x back into the second equation to find y:
2(6) - y = 8
12 - y = 8
-y = 8 - 12
-y = -4
y = 4
The solution to the system of equations is x = 6 and y = 4.