Final answer:
The solution to the system of equations 3x - (1/2)y = -7/2 and 2y = 1 is x = -13/12 and y = 1/2.
Step-by-step explanation:
To find the solution of the system of equations 3x - (1/2)y = -7/2 and 2y = 1, we can substitute the value of y from the second equation into the first equation:
2y = 1 → y = 1/2
Substituting y = 1/2 into the first equation:
3x - (1/2)(1/2) = -7/2
3x - 1/4 = -7/2
3x = -7/2 + 1/4
3x = -14/4 + 1/4
3x = -13/4
x = (-13/4)/3
x = -13/12
Therefore, the solution to the system of equations is x = -13/12 and y = 1/2.