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
Here is the solution for the equation: x - 2y = (y-x)/(w) The goal is to express x in terms of y and w. Step 1: Multiply both sides of the equation by w to eliminate the denominator. w(x - 2y) = y - x Step 2: Distribute w on the left side of the equation. wx - 2wy = y - x Step 3: Gather all terms containing x on one side of the equation and terms not containing x on the other side. Add x to both sides and add 2wy to both sides. wx + x = y + 2wy Step 4: Factor out x from the terms on the left side. x(w + 1) = y + 2wy Step 5: Divide both sides by (w+1) to isolate x. x = (y + 2wy)/(w + 1) Step 6: (Optional) Factor out y from the numerator. x = (y(1 + 2w))/(w + 1) The solution for x in terms of y and w is: x = (y(1 + 2w))/(w + 1) That's 2 down. 3 left today — send the next one.