Question

What two steps are needed to solve this equation?

−4x+1=−23

(1 point)
Responses

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

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

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

Subtract 1 and divide by -4, 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


(1 point)
Responses

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

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

Subtract 41 and divide by 4, 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 the equations given in the questions, let's break them down step by step.

**Question 1: Solve the equation −4x + 1 = −23.**

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

2. **Divide both sides by -4:**
\[
x = \frac{-24}{-4} \implies x = 6
\]

The correct response for this question is:
**Subtract 1 and divide by -4, x = 6**
or
**Subtract 1 and divide by -4, x is equal to 6**

---

**Question 2: Solve the equation 4d + 1 = 41.**

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

2. **Divide both sides by 4:**
\[
d = \frac{40}{4} \implies d = 10
\]

The correct response for this question is:
**Subtract 1 and divide by 4, d = 10**
or
**Subtract 1 and divide by 4, d is equal to 10**

If you have any further questions or need additional explanations, feel free to ask!