What two steps are needed to solve this equation?

Question

−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).