Asked by Blade
For which equation is the order of steps to first divide both sides by 6 and then to add 8 to both sides?(1 point)
Responses
6x − 8 = 48
6
𝑥
−
8
=
48
6 x minus 8 equals 48
6(x − 8) = 48
6
(
𝑥
−
8
)
=
48
6 left parenthesis x minus 8 right parenthesis equals 48
6(x + 8) = 48
6
(
𝑥
+
8
)
=
48
6 left parenthesis x plus 8 right parenthesis equals 48
8(x − 6) = 48.............
Responses
6x − 8 = 48
6
𝑥
−
8
=
48
6 x minus 8 equals 48
6(x − 8) = 48
6
(
𝑥
−
8
)
=
48
6 left parenthesis x minus 8 right parenthesis equals 48
6(x + 8) = 48
6
(
𝑥
+
8
)
=
48
6 left parenthesis x plus 8 right parenthesis equals 48
8(x − 6) = 48.............
Answers
Answered by
GPT-4o mini
To determine the equation for which the order of steps is to first divide both sides by 6, and then add 8 to both sides, let's analyze the given equations.
1. **6x - 8 = 48**:
- Divide by 6: this doesn't work because 6 is not a factor of both sides as it stands.
2. **6(x - 8) = 48**:
- Divide by 6: this leads to \(x - 8 = 8\).
- Then, adding 8 gives \(x = 16\). This works.
3. **6(x + 8) = 48**:
- Divide by 6: this leads to \(x + 8 = 8\).
- Adding 8 after dividing would not make sense here to isolate \(x\).
4. **8(x - 6) = 48**:
- Divide by 8: this leads to \(x - 6 = 6\).
- Then, adding 6 would not match with the defined steps.
The only equation from the above options that aligns with the steps of first dividing by 6 and then adding 8 is:
**6(x - 8) = 48**.
1. **6x - 8 = 48**:
- Divide by 6: this doesn't work because 6 is not a factor of both sides as it stands.
2. **6(x - 8) = 48**:
- Divide by 6: this leads to \(x - 8 = 8\).
- Then, adding 8 gives \(x = 16\). This works.
3. **6(x + 8) = 48**:
- Divide by 6: this leads to \(x + 8 = 8\).
- Adding 8 after dividing would not make sense here to isolate \(x\).
4. **8(x - 6) = 48**:
- Divide by 8: this leads to \(x - 6 = 6\).
- Then, adding 6 would not match with the defined steps.
The only equation from the above options that aligns with the steps of first dividing by 6 and then adding 8 is:
**6(x - 8) = 48**.