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: x + 3y = 6 (1) -x + 8y = 5 (2) Step 2: Add equation (1) and equation (2) to eliminate x. (x + 3y) + (-x + 8y) = 6 + 5 x - x + 3y + 8y = 11 11y = 11 Step 3: Solve for y. y = (11)/(11) y = 1 Step 4: Substitute the value of y into equation (1) to solve for x. x + 3(1) = 6 x + 3 = 6 Step 5: Solve for x. x = 6 - 3 x = 3 The solution to the system of equations is: x=3, y=1 3 done, 2 left today. You're making progress.