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
Your work for problem 4 is correct! Here is the solution for problem 5: 5. Simplify (x-3)/(3) - (x+2)/(5) Step 1: Find the least common multiple (LCM) of the denominators 3 and 5. The LCM is 15. Step 2: Rewrite each fraction with the common denominator. (x-3)/(3) = (5(x-3))/(5 × 3) = (5x-15)/(15) (x+2)/(5) = (3(x+2))/(3 × 5) = (3x+6)/(15) Step 3: Subtract the fractions. (5x-15)/(15) - (3x+6)/(15) = ((5x-15) - (3x+6))/(15) Step 4: Distribute the negative sign and combine like terms in the numerator. (5x-15-3x-6)/(15) = ((5x-3x) + (-15-6))/(15) (2x-21)/(15) The simplified expression is (2x-21)/(15). 3 done, 2 left today. You're making progress.