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
The image contains two distinct mathematical problems separated by a vertical line. Problem 1: Simplify the expression The expression to simplify is sqrt(3^2) · 2^2. Step 1: Evaluate the terms inside the square root. 3^2 = 9 2^2 = 4 Step 2: Multiply the evaluated terms. 3^2 · 2^2 = 9 · 4 = 36 Step 3: Calculate the square root. sqrt(36) = 6 The simplified expression is 6. Problem 2: Solve the system of equations The system of equations is: 1) x + y = 0 2) y = 2x + 9 Step 1: Express y in terms of x from the first equation. From equation (1), subtract x from both sides: y = -x Step 2: Substitute this expression for y into the second equation. Substitute y = -x into y = 2x + 9: -x = 2x + 9 Step 3: Solve for x. Subtract 2x from both sides: -x - 2x = 9 -3x = 9 Divide by -3: x = (9)/(-3) x = -3 Step 4: Substitute the value of x back into y = -x to find y. y = -(-3) y = 3 The solution to the system of equations is x = -3 and y = 3. 3 done, 2 left today. You're making progress.