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: Add the two equations together to eliminate y. The given equations are: 3x - 2y = 18 (1) x + 2y = 6 (2) Add equation (1) and equation (2): (3x - 2y) + (x + 2y) = 18 + 6 3x + x - 2y + 2y = 24 4x = 24 Step 2: Solve for x. Divide both sides by 4: (4x)/(4) = (24)/(4) x = 6 Step 3: Substitute the value of x into one of the original equations to solve for y. Using equation (2): x + 2y = 6 Substitute x = 6: 6 + 2y = 6 Subtract 6 from both sides: 2y = 6 - 6 2y = 0 Divide by 2: y = (0)/(2) y = 0 Step 4: State the solution. The solution to the system of equations is x=6 and y=0. The solution is x=6, y=0. 3 done, 2 left today. You're making progress.