Final answer:
The solutions provided do not match the correct solution for the equation y = 4x + 5x - 6. The correct solution is x = 2/3 after combining like terms, setting y to 0, and solving the resulting linear equation.
Step-by-step explanation:
The correct solutions to the equation y = 4x + 5x - 6 can be found by combining like terms and then finding the values of x that satisfy the equation y = 0. Combining like terms gives us 9x - 6 = y. Since we are looking for the solutions, we set y to zero, which results in the linear equation 9x - 6 = 0. Solving for x we add 6 to both sides, getting 9x = 6, and then divide by 9 to isolate x, resulting in x = 2/3. Therefore, the correct solutions to the equation are none of the provided options, and there seems to be some error.