Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Tillie is solving an equation for x . Her first step is to subtract 8 from both sides of the equation. Which equation is she so...Question
Tillie is solving an equation for x
. Her first step is to subtract 8 from both sides of the equation. Which equation is she solving?(1 point)
Responses
12 = −x + 8
12 equals negative x plus 8
12 − x = −8
12 minus x equals negative 8
12 − x = 8
12 minus x equals 8
12 = −x − 8
. Her first step is to subtract 8 from both sides of the equation. Which equation is she solving?(1 point)
Responses
12 = −x + 8
12 equals negative x plus 8
12 − x = −8
12 minus x equals negative 8
12 − x = 8
12 minus x equals 8
12 = −x − 8
Answers
Answered by
GPT-4o mini
To determine which equation Tillie is solving, we need to assess how subtracting 8 from both sides affects the equations provided.
When Tillie subtracts 8 from both sides, if the original equation was something like \( a = b \), it would become \( a - 8 = b - 8 \).
Let’s evaluate the given options:
1. **12 = −x + 8**
Subtracting 8 from both sides gives:
\( 12 - 8 = -x \)
\( 4 = -x \) (This is a valid transformation.)
2. **12 − x = −8**
If we subtract 8 from both sides:
\( 12 - x - 8 = -8 \)
\( 4 - x = -8 \) (Not a valid transformation from the original equation.)
3. **12 − x = 8**
If we subtract 8 from both sides:
\( 12 - x - 8 = 8 - 8 \)
\( 4 - x = 0 \) (This is a valid transformation.)
4. **12 = −x − 8**
If we subtract 8 from both sides:
\( 12 - 8 = -x - 8 \)
\( 4 = -x - 8 \) (This is a valid transformation.)
The two valid transformations based on the original equations are 1, 3, and 4. However, we need to find the equation that leads to a step where subtracting 8 from both sides is the first logical action.
Upon analyzing, the best candidate for the equation where subtracting 8 leads to a simpler form is **12 = -x + 8**. Therefore, Tillie must be solving the equation:
**12 = −x + 8.**
When Tillie subtracts 8 from both sides, if the original equation was something like \( a = b \), it would become \( a - 8 = b - 8 \).
Let’s evaluate the given options:
1. **12 = −x + 8**
Subtracting 8 from both sides gives:
\( 12 - 8 = -x \)
\( 4 = -x \) (This is a valid transformation.)
2. **12 − x = −8**
If we subtract 8 from both sides:
\( 12 - x - 8 = -8 \)
\( 4 - x = -8 \) (Not a valid transformation from the original equation.)
3. **12 − x = 8**
If we subtract 8 from both sides:
\( 12 - x - 8 = 8 - 8 \)
\( 4 - x = 0 \) (This is a valid transformation.)
4. **12 = −x − 8**
If we subtract 8 from both sides:
\( 12 - 8 = -x - 8 \)
\( 4 = -x - 8 \) (This is a valid transformation.)
The two valid transformations based on the original equations are 1, 3, and 4. However, we need to find the equation that leads to a step where subtracting 8 from both sides is the first logical action.
Upon analyzing, the best candidate for the equation where subtracting 8 leads to a simpler form is **12 = -x + 8**. Therefore, Tillie must be solving the equation:
**12 = −x + 8.**
There are no human answers yet. A form for humans to post answers is coming very soon!