To solve the equations given in the questions, let's break them down step by step.
Question 1: Solve the equation −4x + 1 = −23.
-
Subtract 1 from both sides: \[ -4x + 1 - 1 = -23 - 1 \implies -4x = -24 \]
-
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.
-
Subtract 1 from both sides: \[ 4d + 1 - 1 = 41 - 1 \implies 4d = 40 \]
-
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!