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

1 answer

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!

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