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
Here's how to solve the matrix equation: Step 1: Perform the scalar multiplication for each matrix. 4 5 & x \\ -1 & 1 - 3 6 & x \\ 2 & 2 = 2 1 & 4 \\ y & -1 4 × 5 & 4 × x \\ 4 × (-1) & 4 × 1 - 3 × 6 & 3 × x \\ 3 × 2 & 3 × 2 = 2 × 1 & 2 × 4 \\ 2 × y & 2 × (-1) 20 & 4x \\ -4 & 4 - 18 & 3x \\ 6 & 6 = 2 & 8 \\ 2y & -2 Step 2: Perform the matrix subtraction on the left side. 20 - 18 & 4x - 3x \\ -4 - 6 & 4 - 6 = 2 & 8 \\ 2y & -2 2 & x \\ -10 & -2 = 2 & 8 \\ 2y & -2 Step 3: Equate the corresponding elements to find x and y. From the first row, second column: x = 8 From the second row, first column: -10 = 2y Step 4: Solve for y. 2y = -10 y = (-10)/(2) y = -5 The values are x = 8 and y = -5. x = 8, y = -5 3 done, 2 left today. You're making progress.