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
Step 1: Simplify the numerator. 2x + 3y - x + 2y = (2x - x) + (3y + 2y) = x + 5y Step 2: The expression is now (x + 5y)/(4x - y)z Step 3: Substitute x = 4a, y = 3, z = 1 into the numerator. x + 5y = 4a + 5(3) = 4a + 15 Step 4: Substitute into the denominator. 4x - (y)/(z) = 4(4a) - (3)/(1) = 16a - 3 Step 5: The simplified expression is (4a + 15)/(16a - 3) (4a + 15)/(16a - 3)