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 the first equation for one variable in terms of the other. The equation is 2b + 3a - 6 = 0. To solve for b, first isolate the term with b: 2b = 6 - 3a Now, divide by 2: b = (6 - 3a)/(2) This can also be written as: b = 3 - (3)/(2)a Alternatively, to solve for a: 3a = 6 - 2b a = (6 - 2b)/(3) a = 2 - (2)/(3)b Since the problem asks to "solve the" equation without specifying which variable, expressing one in terms of the other is the complete solution. Step 2: Solve the second equation for x. The equation is 3x + 5x = 0. Combine the like terms on the left side: 8x = 0 Divide both sides by 8: x = (0)/(8) x = 0 The solutions are: For 2b + 3a - 6 = 0: b = 3 - (3)/(2)a or a = 2 - (2)/(3)b For 3x + 5x = 0: x = 0 3 done, 2 left today. You're making progress.