Final answer:
The solution to the system of equations is (4, 5).
Step-by-step explanation:
To find the solution to the system of equations, we need to solve the equations simultaneously.
First, let's set the two equations equal to each other:
2x - 3 = 7 - 0.5x
Combine like terms:
2.5x - 3 = 7
Add 3 to both sides:
2.5x = 10
Divide both sides by 2.5:
x = 4
Now substitute x = 4 into one of the original equations to find y:
y = 2(4) - 3 = 5
Therefore, the solution to the system of equations is (4, 5).