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
Welcome back DUDUROSECIA@GMAIL.COM — missed you this week. Here are the completed tables for each part: a. Equation: x = 3y - 1 Step 1: Substitute y=2 into the equation. x = 3(2) - 1 = 6 - 1 = 5 Step 2: Substitute y=4 into the equation. x = 3(4) - 1 = 12 - 1 = 11 Step 3: Substitute y=6 into the equation. x = 3(6) - 1 = 18 - 1 = 17 Completed table for a: | y | 2 | 4 | 6 | |---|---|---|---| | x | 5 | 11 | 17 | c. Equation: y = -4x - 2 Step 1: Substitute x=3 into the equation. y = -4(3) - 2 = -12 - 2 = -14 Step 2: Substitute x=4 into the equation. y = -4(4) - 2 = -16 - 2 = -18 Step 3: Substitute x=5 into the equation. y = -4(5) - 2 = -20 - 2 = -22 Step 4: Substitute x=6 into the equation. y = -4(6) - 2 = -24 - 2 = -26 Completed table for c: | x | 3 | 4 | 5 | 6 | |---|---|---|---|---| | y | -14 | -18 | -22 | -26 | e. Equation: t = -8s + 2 Step 1: Substitute s=1 into the equation. t = -8(1) + 2 = -8 + 2 = -6 Step 2: Substitute s=2 into the equation. t = -8(2) + 2 = -16 + 2 = -14 Step 3: Substitute s=3 into the equation. t = -8(3) + 2 = -24 + 2 = -22 Step 4: Substitute s=4 into the equation to find the value of n. t = -8(4) + 2 = -32 + 2 = -30 Therefore, n = -30. Completed table for e: | s | 1 | 2 | 3 | 4 | |---|---|---|---|---| | t | -6 | -14 | -22 | -30 | The value of n is -30. Send me the next one 📸