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
The problem asks us to find the value of ((2 - ))/((2 - )) given that 3 = 2. Step 1: Express from the given equation. We are given 3 = 2. Dividing both sides by 3, we get: = (2)/(3) Step 2: Simplify the expression to be evaluated by dividing the numerator and denominator by . The expression is (2 - )/(2 - ). Divide each term in the numerator and denominator by : (2)/() - ()/()(2)/() - ()/() Since ()/() = and ()/() = 1, the expression becomes: (2 - 1)/(2 - ) Step 3: Substitute the value of into the simplified expression. Substitute = (2)/(3): (2(2)/(3)) - 12 - (2)/(3) Step 4: Perform the arithmetic operations to find the final value. Calculate the numerator: 2((2)/(3)) - 1 = (4)/(3) - 1 = (4)/(3) - (3)/(3) = (4-3)/(3) = (1)/(3) Calculate the denominator: 2 - (2)/(3) = (6)/(3) - (2)/(3) = (6-2)/(3) = (4)/(3) Now, divide the numerator by the denominator: (1)/(3)(4)/(3) = (1)/(3) × (3)/(4) = (1)/(4) The value of the expression is (1)/(4). This corresponds to option (c). The final answer is 1/4. That's 2 down. 3 left today — send the next one.