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
Welcome back ABDERRAZZAK — missed you this week. Here's the solution to Exercise 2, question 1: Step 1: Verify if the couple (3; -2) is a solution to the system (S). Substitute x=3 and y=-2 into the equations of the system: Equation 1: x + 2y = 2 3 + 2(-2) = 3 - 4 = -1 Since -1 ≠ 2, the couple (3; -2) is not a solution to the system. Step 2: Verify if the couple (0; 1) is a solution to the system (S). Substitute x=0 and y=1 into the equations of the system: Equation 1: x + 2y = 2 0 + 2(1) = 2 This equation holds true. Equation 2: x - y = -1 0 - 1 = -1 This equation also holds true. Since both equations are satisfied, the couple (0; 1) is a solution to the system. The couple (3; -2) is not a solution to the system (S), while the couple (0; 1) is a solution to the system (S). Got more? Send 'em 📸