A student solves the following equation:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: (2x+3x)−6=19
Step 3: 5x−6=19
Step 4: 5x−6+6=19+6
Step 5: 5x=25
Step 6: x=5
What property justifies going from step 3 to step 4?
Substitution Property
Distributive Property
Combine Like Terms
Commutative Property of Addition
Addition Property of Equality
3 answers
The property that justifies going from step 3 to step 4 is the Addition Property of Equality, which states that if a = b, then a + c = b + c. In this case, the student added 6 to both sides of the equation to isolate the variable x.
Pick out of the respondses i gave you
Addition Property of Equality