13-y/17-y=1/2

To solve the equation \(\frac{13-y}{17-y} = \frac{1}{2}\), we can start by cross-multiplying to eliminate the fraction. 1. Cross-multiply: \[ 2(13 - y) = 1(17 - y) \] 2. Distribute both sides: \[ 26 - 2y = 17 - y \] 3. Rearrange the equation to isolate \(y\): Start by adding \(2y\) to both sides: \[ 26 = 17 - y + 2y \] This simplifies to: \[ 26 = 17 + y \] 4. Subtract 17 from both sides: \[ 26 - 17 = y \] 5. Calculate the value: \[ y = 9 \] Thus, the solution to the equation is \(y = 9\).