Question

What two steps are needed to solve this equation?

−4x+1=−23
−
4
𝑥
+
1
=
−
23

(1 point)
Responses

Add1 and divide by -4, x=6
𝑥
=
6
Add1 and divide by -4, x is equal to 6

Subtract 1 and add 4, x=6
𝑥
=
6
Subtract 1 and add 4, x is equal to 6

Subtract 1 and multiply by -4, x=6
𝑥
=
6
Subtract 1 and multiply by -4, x is equal to 6

Subtract 1 and divide by -4, x=6
𝑥
=
6
Subtract 1 and divide by -4, x is equal to 6
Question 2
What two steps are needed to solve this equation?

4d+1=41
4
𝑑
+
1
=
41

(1 point)
Responses

Subtract 1 and multiply by 4, d=10
𝑑
=
10
Subtract 1 and multiply by 4, d is equal to 10

Subtract 1 and divide by 4, d=10
𝑑
=
10
Subtract 1 and divide by 4, d is equal to 10

Subtract 41 and divide by 4, d=10
𝑑
=
10
Subtract 41 and divide by 4, d is equal to 10

Add 1 and divide by 4, d=10

Answer 1

To solve each equation, let's go through the steps one at a time.

**For the first equation:**
\[
-4x + 1 = -23
\]

1. **Subtract 1 from both sides:**
\[
-4x = -23 - 1 \quad \Rightarrow \quad -4x = -24
\]

2. **Divide by -4:**
\[
x = \frac{-24}{-4} \quad \Rightarrow \quad x = 6
\]

So, the correct response for the first equation is:
- **Subtract 1 and divide by -4, \(x = 6\)**

---

**For the second equation:**
\[
4d + 1 = 41
\]

1. **Subtract 1 from both sides:**
\[
4d = 41 - 1 \quad \Rightarrow \quad 4d = 40
\]

2. **Divide by 4:**
\[
d = \frac{40}{4} \quad \Rightarrow \quad d = 10
\]

So, the correct response for the second equation is:
- **Subtract 1 and divide by 4, \(d = 10\)**

In summary, the responses to both questions are:
1. Subtract 1 and divide by -4, \(x = 6\) (first equation).
2. Subtract 1 and divide by 4, \(d = 10\) (second equation).