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
a) To complete the table for the equation y = x + 3: Step 1: Find y when x = -2. y = -2 + 3 = 1 Step 2: Find x when y = 7. 7 = x + 3 x = 7 - 3 = 4 Step 3: Find y when x = 0. y = 0 + 3 = 3 Step 4: Find y when x = 2. y = 2 + 3 = 5 Step 5: Find x when y = 7 (for the last column). 7 = x + 3 x = 7 - 3 = 4 The completed table is: | x | -2 | 4 | 0 | 2 | 4 | |---|----|---|---|---|---| | y | 1 | 7 | 3 | 5 | 7 | b) To complete the table for the equation 2x + y = 6: Step 1: Find y when x = 4 (1)/(2) = (9)/(2). 2((9)/(2)) + y = 6 9 + y = 6 y = 6 - 9 = -3 Step 2: Find x when y = -2. 2x + (-2) = 6 2x - 2 = 6 2x = 6 + 2 2x = 8 x = (8)/(2) = 4 Step 3: Find x when y = 0. 2x + 0 = 6 2x = 6 x = (6)/(2) = 3 Step 4: Find y when x = 5. 2(5) + y = 6 10 + y = 6 y = 6 - 10 = -4 Step 5: Find y when x = 3. 2(3) + y = 6 6 + y = 6 y = 6 - 6 = 0 The completed table is: | x | 4 (1)/(2) | 4 | 3 | 5 | 3 | |---|-----------------|---|---|---|---| | y | -3 | -2 | 0 | -4 | 0 | 10. Solve the following inequalities a) 7x - 3 > 14 Step 1: Add 3 to both sides of the inequality. 7x - 3 + 3 > 14 + 3 7x > 17 Step 2: Divide both sides by 7. (7x)/(7) > (17)/(7) x > (17)/(7) The solution is x > (17)/(7). Send me the next one 📸