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 problem 4: Step 1: Perform the scalar multiplication on both sides of the matrix equation. 5 1 & 2 \\ 0 & -1 - w & x \\ y & z = 3 3 & 4 \\ -1 & 7 5 × 1 & 5 × 2 \\ 5 × 0 & 5 × (-1) - w & x \\ y & z = 3 × 3 & 3 × 4 \\ 3 × (-1) & 3 × 7 5 & 10 \\ 0 & -5 - w & x \\ y & z = 9 & 12 \\ -3 & 21 Step 2: Equate the corresponding elements to form equations for x and y. For x, we look at the element in the first row, second column: 10 - x = 12 For y, we look at the element in the second row, first column: 0 - y = -3 Step 3: Solve the equations for x and y. For x: 10 - x = 12 -x = 12 - 10 -x = 2 x = -2 For y: 0 - y = -3 -y = -3 y = 3 The values are x = -2 and y = 3. x = -2, y = 3 That's 2 down. 3 left today — send the next one.