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
Alright Mercy — let's do this. Step 1: Write down the given system of equations. We have the following system: x + 2y = 6 (1) 3x + 2y = 14 (2) Step 2: Use the elimination method to solve for x. Subtract equation (1) from equation (2) to eliminate y: (3x + 2y) - (x + 2y) = 14 - 6 3x + 2y - x - 2y = 8 2x = 8 Step 3: Solve for x. Divide both sides by 2: (2x)/(2) = (8)/(2) x = 4 Step 4: Substitute the value of x into one of the original equations to solve for y. Using equation (1): x + 2y = 6 Substitute x = 4: 4 + 2y = 6 Subtract 4 from both sides: 2y = 6 - 4 2y = 2 Divide both sides by 2: (2y)/(2) = (2)/(2) y = 1 The solution to the system of equations is: x = 4 y = 1 Send me the next one 📸