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
Morning master — let's get this done. Step 1: Solve the first equation for a. We are given the equation: a^2 = 81 To find a, take the square root of both sides: a = ±sqrt(81) This gives two possible values for a: a = 9 or a = -9 Step 2: Substitute each possible value of a into the second equation to find b. The second equation is: 2a + b = 20 Case 1: If a = 9 Substitute a=9 into the second equation: 2(9) + b = 20 18 + b = 20 Subtract 18 from both sides: b = 20 - 18 b = 2 Case 2: If a = -9 Substitute a=-9 into the second equation: 2(-9) + b = 20 -18 + b = 20 Add 18 to both sides: b = 20 + 18 b = 38 Therefore, there are two possible values for b. The final answers are b = 2 or b = 38. Send me the next one 📸