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
c) Step 1: Subtract 5 from both sides of the equation. 5 - (24)/(x) = 3 -(24)/(x) = 3 - 5 -(24)/(x) = -2 Step 2: Multiply both sides by x. -24 = -2x Step 3: Divide both sides by -2 to solve for x. x = (-24)/(-2) x = 12 f) Step 1: Find the least common multiple (LCM) of the denominators y, 3y, and 2. The LCM is 6y. (y-3)/(y) = (2)/(3y) - (1)/(2) Step 2: Multiply every term in the equation by the LCM, 6y, to eliminate the denominators. 6y ((y-3)/(y)) = 6y ((2)/(3y)) - 6y ((1)/(2)) 6(y-3) = 2(2) - 3y(1) Step 3: Distribute and simplify the terms. 6y - 18 = 4 - 3y Step 4: Move all terms containing y to one side and constant terms to the other side. 6y + 3y = 4 + 18 9y = 22 Step 5: Divide by 9 to solve for y. y = (22)/(9) 3 done, 2 left today. You're making progress.