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 are the solutions to the problems from the image. 7. Solve for x. a) 6x = 72 Step 1: Divide both sides by 6. (6x)/(6) = (72)/(6) Step 2: Simplify the equation. x = 12 The solution is x = 12. b) 7x = 84 Step 1: Divide both sides by 7. (7x)/(7) = (84)/(7) Step 2: Simplify the equation. x = 12 The solution is x = 12. 8. Solve for x. a) 5x - 6 = 18 Step 1: Add 6 to both sides of the equation. 5x - 6 + 6 = 18 + 6 5x = 24 Step 2: Divide both sides by 5. (5x)/(5) = (24)/(5) Step 3: Simplify the equation. x = (24)/(5) or x = 4(4)/(5) The solution is x = (24)/(5). b) 3x + 4 = -5 Step 1: Subtract 4 from both sides of the equation. 3x + 4 - 4 = -5 - 4 3x = -9 Step 2: Divide both sides by 3. (3x)/(3) = (-9)/(3) Step 3: Simplify the equation. x = -3 The solution is x = -3. 9. Substitute. a) y = p^2 + 7; p = 8 Step 1: Substitute the value of p into the equation. y = (8)^2 + 7 Step 2: Calculate the square. y = 64 + 7 Step 3: Add the numbers. y = 71 The value of y is y = 71. b) y = c^2 + 4; c = 5 (assuming c=5 from the visible part of the question) Step 1: Substitute the value of c into the equation. y = (5)^2 + 4 Step 2: Calculate the square. y = 25 + 4 Step 3: Add the numbers. y = 29 The value of y is y = 29. Last free one today — make it count tomorrow, or type /upgrade for unlimited.