Question

Nathan wrote the following steps to prove the equation:
Given: 3(x + 2) = 6x + 3
Prove: x = 1
Which step of justification is incorrect, and what should the justification for that step be to solve the equation?

Step 4; Commutative Property of Multiplication

Step 3; Reflexive Property of Equality

Step 1; Associative Property of Addition

Step 2; Subtraction Property of Equality

Answer 1

@nbouscal, someone is accusing you of incorrect maths.

@LivForMusic, which one do you think it is?

Answer 2

i think the answer is "Step 3; Reflexive Property of Equality" b/c ive never heard of "Symmetric Property of Equality"

Answer 3

Reflexive property of equality means \(a=a\). Also, step 3 is justified. So, it's not that one. Try again.

Symmetric property of inequality means \(a=b\) implies \(b=a.\)

Answer 4

then it would be "Step 2; Subtraction Property of Equality" ?

Answer 5

Correct. Good job.

Answer 6

Typo: should be "symmetric property of equality"

Answer 7

@Limitless wait so am i correct? that it is "Step 2; Subtraction Property of Equality"

Answer 8

@LivForMusic, yes. I was correcting myself. See where I wrote "inequality"? I should have wrote "equality". Sorry for the confusion.

Answer 9

oh ok. thanks :)

Answer 10

You're welcome! Have a good day now.