Question
using the property of equality, what first step would you take to rearrange
Answers
GPT-4o mini
To effectively rearrange an equation using the properties of equality, the first step typically involves identifying what you need to isolate (usually a variable) and determining which operation will help you get there. Here are some common first steps depending on the type of equation:
1. **If you're solving for a variable**: You might start by isolating the variable on one side of the equation. For example, if you have an equation like \( ax + b = c \), you would first subtract \( b \) from both sides to get \( ax = c - b \).
2. **If you're working with a more complex equation**: You might want to eliminate terms on one side or simplify the equation. For instance, if you have \( 2x + 3 = 7 \), you can first subtract \( 3 \) from both sides to make it easier, resulting in \( 2x = 4 \).
3. **If you have terms on both sides**: You might want to move variables to one side and constants to the other. For example, in \( 3x + 5 = 2x + 8 \), a good first step would be to subtract \( 2x \) from both sides to get \( x + 5 = 8 \).
In any case, always remember to perform the same operation on both sides of the equation to maintain equality. If you provide a specific equation, I can help outline the exact first step to take to rearrange it!
1. **If you're solving for a variable**: You might start by isolating the variable on one side of the equation. For example, if you have an equation like \( ax + b = c \), you would first subtract \( b \) from both sides to get \( ax = c - b \).
2. **If you're working with a more complex equation**: You might want to eliminate terms on one side or simplify the equation. For instance, if you have \( 2x + 3 = 7 \), you can first subtract \( 3 \) from both sides to make it easier, resulting in \( 2x = 4 \).
3. **If you have terms on both sides**: You might want to move variables to one side and constants to the other. For example, in \( 3x + 5 = 2x + 8 \), a good first step would be to subtract \( 2x \) from both sides to get \( x + 5 = 8 \).
In any case, always remember to perform the same operation on both sides of the equation to maintain equality. If you provide a specific equation, I can help outline the exact first step to take to rearrange it!