Asked by nobody
Solve the equation filling in the steps: 2(x - 3) + 21 = -3
Distribute to get _______________
Combine like terms to get ______________
Use the (choose a property) ______________ to get (resulting equation) ________________
Use the (choose a property) ________________ to get (resulting answer) _____________
Fill In The Blanks
Options: Subtraction Property of Equality, x = 24, x = - 21/2, Division Property of Equality, 2x + 18 = -3, Addition Property of Equality, x = -9, 2x - 3 + 21 = -3, 2x = -21, 2x + 15 = -3, 2x = -18, -1x = -24, 2x - 6 + 21 = -3, Multiplication Property of Equality
Distribute to get _______________
Combine like terms to get ______________
Use the (choose a property) ______________ to get (resulting equation) ________________
Use the (choose a property) ________________ to get (resulting answer) _____________
Fill In The Blanks
Options: Subtraction Property of Equality, x = 24, x = - 21/2, Division Property of Equality, 2x + 18 = -3, Addition Property of Equality, x = -9, 2x - 3 + 21 = -3, 2x = -21, 2x + 15 = -3, 2x = -18, -1x = -24, 2x - 6 + 21 = -3, Multiplication Property of Equality
Answers
Answered by
nobody
are you sure these answers are correct
Answered by
GPT-4o mini
Let's solve the equation step by step, filling in the blanks.
1. **Distribute to get**:
\( 2(x - 3) + 21 = -3 \)
Distributing gives:
\( 2x - 6 + 21 = -3 \)
2. **Combine like terms to get**:
Combining \(-6\) and \(21\) gives:
\( 2x + 15 = -3 \)
3. **Use the (choose a property)**:
We will use the **Subtraction Property of Equality** to isolate \(2x\):
Subtract \(15\) from both sides:
\( 2x + 15 - 15 = -3 - 15 \)
Resulting equation:
\( 2x = -18 \)
4. **Use the (choose a property)**:
Now we will use the **Division Property of Equality** to solve for \(x\):
Divide both sides by \(2\):
\( x = \frac{-18}{2} \)
Resulting answer:
\( x = -9 \)
So, the completed solution is:
1. Distribute to get **2x - 6 + 21 = -3**
2. Combine like terms to get **2x + 15 = -3**
3. Use the (choose a property) **Subtraction Property of Equality** to get (resulting equation) **2x = -18**
4. Use the (choose a property) **Division Property of Equality** to get (resulting answer) **x = -9**.
1. **Distribute to get**:
\( 2(x - 3) + 21 = -3 \)
Distributing gives:
\( 2x - 6 + 21 = -3 \)
2. **Combine like terms to get**:
Combining \(-6\) and \(21\) gives:
\( 2x + 15 = -3 \)
3. **Use the (choose a property)**:
We will use the **Subtraction Property of Equality** to isolate \(2x\):
Subtract \(15\) from both sides:
\( 2x + 15 - 15 = -3 - 15 \)
Resulting equation:
\( 2x = -18 \)
4. **Use the (choose a property)**:
Now we will use the **Division Property of Equality** to solve for \(x\):
Divide both sides by \(2\):
\( x = \frac{-18}{2} \)
Resulting answer:
\( x = -9 \)
So, the completed solution is:
1. Distribute to get **2x - 6 + 21 = -3**
2. Combine like terms to get **2x + 15 = -3**
3. Use the (choose a property) **Subtraction Property of Equality** to get (resulting equation) **2x = -18**
4. Use the (choose a property) **Division Property of Equality** to get (resulting answer) **x = -9**.
Answered by
GPT-4o mini
Yes, let's verify the solution step by step to ensure everything is correct.
The original equation is:
\[
2(x - 3) + 21 = -3
\]
1. **Distribute to get**:
We need to distribute \(2\) into \((x - 3)\):
\[
2 \cdot x - 2 \cdot 3 + 21 = -3
\]
This simplifies to:
\[
2x - 6 + 21 = -3
\]
2. **Combine like terms to get**:
Combine the constants \(-6\) and \(21\):
\[
2x + 15 = -3
\]
3. **Use the (choose a property)**:
To isolate \(2x\), we will use the **Subtraction Property of Equality**. Subtract \(15\) from both sides:
\[
2x + 15 - 15 = -3 - 15
\]
Resulting in:
\[
2x = -18
\]
4. **Use the (choose a property)**:
To solve for \(x\), we will use the **Division Property of Equality**. Divide both sides by \(2\):
\[
x = \frac{-18}{2}
\]
Which simplifies to:
\[
x = -9
\]
So, the final answer is indeed correct: \( x = -9 \).
To summarize:
1. Distribute to get **2x - 6 + 21 = -3**
2. Combine like terms to get **2x + 15 = -3**
3. Use the (choose a property) **Subtraction Property of Equality** to get (resulting equation) **2x = -18**
4. Use the (choose a property) **Division Property of Equality** to get (resulting answer) **x = -9**.
These steps and answers are verified to be accurate.
The original equation is:
\[
2(x - 3) + 21 = -3
\]
1. **Distribute to get**:
We need to distribute \(2\) into \((x - 3)\):
\[
2 \cdot x - 2 \cdot 3 + 21 = -3
\]
This simplifies to:
\[
2x - 6 + 21 = -3
\]
2. **Combine like terms to get**:
Combine the constants \(-6\) and \(21\):
\[
2x + 15 = -3
\]
3. **Use the (choose a property)**:
To isolate \(2x\), we will use the **Subtraction Property of Equality**. Subtract \(15\) from both sides:
\[
2x + 15 - 15 = -3 - 15
\]
Resulting in:
\[
2x = -18
\]
4. **Use the (choose a property)**:
To solve for \(x\), we will use the **Division Property of Equality**. Divide both sides by \(2\):
\[
x = \frac{-18}{2}
\]
Which simplifies to:
\[
x = -9
\]
So, the final answer is indeed correct: \( x = -9 \).
To summarize:
1. Distribute to get **2x - 6 + 21 = -3**
2. Combine like terms to get **2x + 15 = -3**
3. Use the (choose a property) **Subtraction Property of Equality** to get (resulting equation) **2x = -18**
4. Use the (choose a property) **Division Property of Equality** to get (resulting answer) **x = -9**.
These steps and answers are verified to be accurate.
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.