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
Hey IB, good to see you again. To solve the system of simultaneous equations: 1) 3x + y = 1 2) 2x - 3y = 8 Step 1: Multiply the first equation by 3 to make the coefficient of y equal in magnitude to the second equation, allowing for elimination. 3(3x + y) = 3(1) 9x + 3y = 3 (*) Step 2: Add the modified first equation (*) to the second equation to eliminate y. (9x + 3y) + (2x - 3y) = 3 + 8 11x = 11 Step 3: Solve for x. x = (11)/(11) x = 1 Step 4: Substitute the value of x = 1 into the original first equation (3x + y = 1) to find y. 3(1) + y = 1 3 + y = 1 y = 1 - 3 y = -2 The solution is x = 1 and y = -2. Comparing this with the given options: A: x = 1 and y = -2 B: x = -2 and y = -1 C: x = 2 and y = -1 D: x = 1 and y = 2 The correct option is A. The final answer is A: x = 1 and y = -2. Send me the next one 📸