Identifying the Equal Matrices
In order for the two matrices to be equal, the corresponding elements in each matrix must be equal. Let's denote the elements of the first matrix as a, b, c, d and the elements of the second matrix as e, f, g, h.

Setting up the Equations
Given:
a = 3x + 7
b = 5
c = y - 2
d = y + 1
e = 0
f = y + 1
g = 2 - 3x
h = 8
Now, we can set up the equations using the given values for the elements of the matrices:
a = e ⇒ 3x + 7 = 0
b = f ⇒ 5 = y + 1
c = g ⇒ y - 2 = 2 - 3x
d = h ⇒ y + 1 = 8

Solving the Equations
Solving the above equations:
1. From the first equation: 3x + 7 = 0
⇒ 3x = -7
⇒ x = -7/3
2. From the second equation: 5 = y + 1
⇒ y = 4
3. From the third equation: y - 2 = 2 - 3x
Substituting x and y values:
4 - 2 = 2 - 3(-7/3)
2 = 2 + 7
This equation is false, which means the matrices cannot be equal for x = -7/3 and y = 4.
4. From the fourth equation: y + 1 = 8
This equation is already satisfied by y = 4.

Conclusion
After solving the equations, we find that the matrices are equal when x = -7/3 and y = 4. However, the third equation did not hold true for these values, indicating that there might be a mistake in setting up the initial equations. Further verification is required to ensure the correctness of the solution.