A student solved the equation x + 2(x + 1) = 17
Line 1: x + 2x + 1 = 17
Line 2: 3x + 1 = 17
Line 3: 3x = 16
Line 4: x = 16/3
(3 points)
1. Identify the Property used to go from Line 2 to Line 3
2. Which line has a mistake?
3. What should have been the correct answer for the equation?
Distributive Property
Multiplication Property of Equality
No solution
Combine like terms
Line 1
Line 2
x = 5
Subtraction Property of Equality
Line 3
Line 4
77x = 45
x=15
1. The Property used to go from Line 2 to Line 3 is the Addition Property of Equality, where 1 is added to both sides of the equation.
2. Line 4 has a mistake. The correct equation should be x = 16/3, not x = 5.
3. The correct answer for the equation x + 2(x + 1) = 17 is x = 16/3.