Final Answer:
The solution for the variable b is b = -a + 7/3. None of the given options is answer.
Step-by-step explanation:
In the process of solving the equation 5b - 6a - 7 = 2b - 9a and expressing the result in terms of b, the final solution is b = -a + 7/3. This involves rearranging the equation, combining like terms, and step-by-step isolation of b. The ultimate expression for b showcases a systematic simplification, providing confidence in the correctness of the derived solution.
Given is:
5b - 6a – 7 = 2b - 9a
Move all the b terms on one side of the equation:
5b - 2b = -9a + 6a + 7
3b = -3a + 7
Divide both sides by 3 to isolate b:
b = (-3a + 7) / 3
Simplify the equation:
b = -a + 7/3
Therefore, the solution is b = -a + 7/3.
None of the given options is answer.