Question

Nathan wrote the following steps to prove the equation:
Given: 3(x + 2) = 6x + 3
Prove: x = 1

Answer 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 2

i think it's step 2 that's wrong.

Answer 3

You are correct. Step 2 is wrong.
What should it be?

Answer 4

the subtraction property of equality

Answer 5

Right, because in that step, 3x was subtracted from both sides. That is the subtraction property of equality.

Answer 6

ok, thanks a lot

Answer 7

You're welcome.