Can you just help me with this thanks
Directions: Tell which property is being used for each step I will give you an example
Example: prove that if 4x-8=-8 then x=0
Given: 4x-8=-8
Prove: 0
A. 4x-8=-8 Given
B. 4x-0 Addition property
C. x=0 Division property
Problem I need help with:
prove that if 3x-2=x-8=-3
Given: 3x-2=x-8
Prove: x=-3
A. 3x-2=x-8 given
B. 2x-2=-8 ?
C. 2x=-6 ?
D. x=-3 Division
by the way that 3 on the second problem for the answer is -3 and on the example the 8 on the equal side is negative sorry for any confusion
To prove that if 3x-2=x-8, then x=-3, let's break down each step and identify the property used:
Given: 3x-2=x-8
To prove: x=-3
A. 3x-2=x-8 (Given)
B. 2x-2=-8 (Subtracted x from both sides - This can be considered the Addition or Subtraction Property of Equality)
C. 2x=-6 (Added 2 to both sides - Addition or Subtraction Property of Equality)
D. x=-3 (Divided both sides by 2 - Division Property of Equality)
So, the property used in step B is the Addition or Subtraction Property of Equality, and the property used in step C is the Addition or Subtraction Property of Equality. Finally, the property used in step D is the Division Property of Equality.
Therefore, the proof that if 3x-2=x-8, then x=-3 is complete.