Question

Solve for C in the equation: 6c - 7a = bc - 2.

a. C = (6c - 2)/(b - 7)
b. C = (7a - 2)/(6 - b)
c. C = (7a - 2)/(b - 6)
d. C = (2 - 7a)/(b - 6)

Answer 1

To solve for C in the equation 6c - 7a = bc - 2, isolate C by following these steps: distribute terms, combine like terms, add or subtract to isolate C, and simplify the equation. The solution is C = (7a - 2)/(6 + b).

Step-by-step explanation:

To solve for C in the equation 6c - 7a = bc - 2, we need to isolate the variable C on one side of the equation. Here's how:

1. Distribute the terms on the right side: 6c - 7a = bc - 2 becomes 6c - 7a = bc - 2.
2. Combine like terms: 6c - 7a - bc = -2.
3. Add bc to both sides: 6c - 7a + bc = -2 + bc.
4. Now, isolate C by subtracting -7a from both sides: 6c + bc = -2 + bc + 7a.
5. Combine like terms: 6c + bc = 7a - 2.
6. Divide both sides by (6 + b): (6c + bc)/(6 + b) = (7a - 2)/(6 + b).
7. Simplify the equation: C = (7a - 2)/(6 + b).