Solve the system of equations: 3x - 6y = 15 -2x + 4y = -10 What is the value of x and y?

Correct answer

x = 5, y = 0

Explanation

Explanation 1) 3x - 6y = 15 2) -2x + 4y = -10 Step 1: Multiply equation (2) by 1.5 to align y coefficients with equation (1): -2x + 4y = -10 × 1.5 → -3x + 6y = -15 Step 2: Add equation (1) and the modified equation (2): (3x - 6y) + (-3x + 6y) = 15 + (-15) 0 = 0 This means the two equations are dependent — they represent the same line. Step 3: Express x in terms of y from equation (1): 3x - 6y = 15 3x = 15 + 6y x = (15 + 6y) / 3 = 5 + 2y Since infinitely many solutions exist, pick y = 0: x = 5 + 2(0) = 5 y = 0 x = 5, y = 0