Final answer:
The value of y when x equals 6 in the equation -3x - 6y = -42 is found to be 4 after substituting x with 6 and simplifying the equation.
Step-by-step explanation:
To complete the solution of the equation -3x - 6y = -42 and find the value of y when x equals 6, we can follow these steps:
- Substitute x with 6 into the equation: -3(6) - 6y = -42.
- Simplify the equation: -18 - 6y = -42.
- Add 18 to both sides: -6y = -42 + 18.
- Simplify the right side: -6y = -24.
- Divide both sides by -6: y = 4.
So, the value of y when x equals 6 is 4, which is not listed in the provided options (a) 7, (b) 8, (c) 9, (d) 10.