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
You're asking how 3a - 2b = 8 becomes 3a - 2 · (1)/(2) = 8. This is the substitution step. We were given that the value of b is (1)/(2). So, in the expression 3a - 2b, we replace the variable b with its numerical value, (1)/(2). When you have 2b, it means 2 × b. So, when b = (1)/(2), then 2b becomes 2 × (1)/(2). Therefore, 3a - 2b = 8 becomes: 3a - 2 × (1)/(2) = 8 or 3a - 2((1)/(2)) = 8 Both notations mean the same thing: 2 multiplied by (1)/(2). Then, we perform the multiplication: 2 × (1)/(2) = (2)/(1) × (1)/(2) = (2 × 1)/(1 × 2) = (2)/(2) = 1 So the equation simplifies to: 3a - 1 = 8 This is how we get to that step. Drop the next question.