This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Solve for b in terms of a and c. Start with the given equation: 2b + 6a - c = 0 Isolate the term with b by moving 6a and -c to the right side of the equation: 2b = c - 6a Divide both sides by 2: b = (c - 6a)/(2) This can also be written as: b = (1)/(2)c - 3a Step 2: Solve for a in terms of b and c. Start with the given equation: 2b + 6a - c = 0 Isolate the term with a by moving 2b and -c to the right side of the equation: 6a = c - 2b Divide both sides by 6: a = (c - 2b)/(6) This can also be written as: a = (1)/(6)c - (1)/(3)b Step 3: Solve for c in terms of a and b. Start with the given equation: 2b + 6a - c = 0 Isolate the term with c by moving -c to the right side of the equation: 2b + 6a = c So, c = 2b + 6a The solutions are: b = (c - 6a)/(2) a = (c - 2b)/(6) c = 2b + 6a What's next?