Answer :
The answer provides the equivalent expressions: 6x + 4y - 6 and 2(3x + 2y - 3).
the process of obtaining these expressions.
Equivalent expressions to 12(1/2x - 3) + 12(1/3y + 2) + 6 are:
To find the equivalent expressions, distribute the constants and simplify the terms.
final ans for this expression
6x + 4y - 6
OR
2(3x + 2y - 3)
To determine which expressions are equivalent to 12(1/2x − 3) + 12(1/3y + 2) + 6, we can start by simplifying the given expression:
12(1/2x − 3) + 12(1/3y + 2) + 6
First, distribute the 12:
- 12(1/2)x − 12(3) + 12(1/3)y + 12(2) + 6
- Simplify inside the parentheses:
- 6x − 36 + 4y + 24 + 6
Add and combine like terms:
- 6x + 4y − 36 + 24 + 6
- 6x + 4y − 6
So, the simplified expression is 6x + 4y − 6. Let's check which of the given answers match this simplified form:
- 6(x+2/3y−1) − Not equivalent
- 6x+4y−5 − Not equivalent
- 6x+4y−6 − Equivalent
- 2(3x+2y−33) − Not equivalent
- 2(3x+2y−3) − Not equivalent
Therefore, the correct answer is 6x + 4y − 6.
