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: Identify the system of equations. The given system of equations is: 3x + 2y = 8 (1) 2x - y = 3 (2) Step 2: Multiply equation (2) by 2 to make the coefficients of y opposites. 2(2x - y) = 2(3) 4x - 2y = 6 (3) Step 3: Add equation (1) and equation (3) to eliminate y. (3x + 2y) + (4x - 2y) = 8 + 6 3x + 4x + 2y - 2y = 14 7x = 14 Step 4: Solve for x. x = (14)/(7) x = 2 Step 5: Substitute the value of x into equation (2) to solve for y. 2(2) - y = 3 4 - y = 3 Step 6: Solve for y. -y = 3 - 4 -y = -1 y = 1 The solution to the system of equations is: x=2, y=1 That's 2 down. 3 left today — send the next one.