Solve the Following System: 8x + 9y = 5 and 8x + 9y = 5

The given system of equations is:

• 8x + 9y = 5
• 8x + 9y = 5

Since both equations are identical, we can see that they represent the same line in the coordinate plane. This means that instead of a unique solution, we have infinitely many solutions.

To express the solutions, we can rearrange the equation for y:

8x + 9y = 5
9y = 5 - 8x
y = (5 - 8x)/9

Here, y is expressed in terms of x. For any value of x that we choose, we can find a corresponding value of y. Thus, the solution is not a single pair (x,y), but rather any pair that satisfies the equation.

In conclusion, the system has infinitely many solutions, which can be represented in the form of the equation:

y = (5 - 8x)/9