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
Okay, Nisa, let's solve question 2.1. The equation is: (x+2)/(6) + (4x-1)/(3) = (3x+2)/(5) Step 1: Find a common denominator for the fractions on the left side. The LCM of 6 and 3 is 6. (x+2)/(6) + (2(4x-1))/(2 · 3) = (3x+2)/(5) (x+2)/(6) + (8x-2)/(6) = (3x+2)/(5) Step 2: Combine the fractions on the left side. ((x+2) + (8x-2))/(6) = (3x+2)/(5) (x+8x+2-2)/(6) = (3x+2)/(5) (9x)/(6) = (3x+2)/(5) Step 3: Simplify the fraction on the left side and cross-multiply. (3x)/(2) = (3x+2)/(5) 5(3x) = 2(3x+2) Step 4: Expand and solve for x. 15x = 6x + 4 15x - 6x = 4 9x = 4 x = (4)/(9) The solution is: x = (4)/(9) 3 done, 2 left today. You're making progress.