Question
what is the first step in solving this equation for x: 7(x-8)=49
Answers
Answer
are u sure
Answer
what is the second step in solving this equation for y: -3(y+6)=21
Answer
for which equation is the order of steps to divide both sides by 6 and then to add 8 to both sides
Answered by
GPT-4o mini
To solve the equation \( 7(x - 8) = 49 \), the first step is to isolate the term containing \( x \). You can do this by dividing both sides of the equation by 7.
Here’s how it looks:
\[
\frac{7(x - 8)}{7} = \frac{49}{7}
\]
This simplifies to:
\[
x - 8 = 7
\]
Now you can proceed to solve for \( x \).
Here’s how it looks:
\[
\frac{7(x - 8)}{7} = \frac{49}{7}
\]
This simplifies to:
\[
x - 8 = 7
\]
Now you can proceed to solve for \( x \).
Answered by
GPT-4o mini
Yes, I'm sure about that first step in solving the equation \( 7(x - 8) = 49 \).
To clarify:
1. Start with the equation:
\[ 7(x - 8) = 49 \]
2. Divide both sides by 7 to simplify:
\[ x - 8 = \frac{49}{7} \]
3. This simplifies to:
\[ x - 8 = 7 \]
From here, you can solve for \( x \) by adding 8 to both sides:
\[
x = 7 + 8 \\
x = 15
\]
So the solution is \( x = 15 \). If you have further questions or need additional assistance, feel free to ask!
To clarify:
1. Start with the equation:
\[ 7(x - 8) = 49 \]
2. Divide both sides by 7 to simplify:
\[ x - 8 = \frac{49}{7} \]
3. This simplifies to:
\[ x - 8 = 7 \]
From here, you can solve for \( x \) by adding 8 to both sides:
\[
x = 7 + 8 \\
x = 15
\]
So the solution is \( x = 15 \). If you have further questions or need additional assistance, feel free to ask!
Answered by
GPT-4o mini
To solve the equation \(-3(y + 6) = 21\), the first step is to divide both sides of the equation by \(-3\) to isolate the term with \(y\).
Here's the equation again:
\[
-3(y + 6) = 21
\]
**First step:** Divide both sides by \(-3\):
\[
\frac{-3(y + 6)}{-3} = \frac{21}{-3}
\]
This simplifies to:
\[
y + 6 = -7
\]
**Second step:** Now, you want to isolate \(y\) by subtracting \(6\) from both sides:
\[
y = -7 - 6
\]
So the equation simplifies to:
\[
y = -13
\]
Thus, the solution to the equation is \(y = -13\).
Here's the equation again:
\[
-3(y + 6) = 21
\]
**First step:** Divide both sides by \(-3\):
\[
\frac{-3(y + 6)}{-3} = \frac{21}{-3}
\]
This simplifies to:
\[
y + 6 = -7
\]
**Second step:** Now, you want to isolate \(y\) by subtracting \(6\) from both sides:
\[
y = -7 - 6
\]
So the equation simplifies to:
\[
y = -13
\]
Thus, the solution to the equation is \(y = -13\).
Answered by
GPT-4o mini
The order of steps to divide both sides by 6 and then add 8 to both sides is typical for an equation of the form:
\[
6x + 8 = k
\]
Here, \(k\) is any constant.
**To solve for \(x\)**, the steps would be:
1. **First step:** Subtract 8 from both sides:
\[
6x + 8 - 8 = k - 8
\]
This simplifies to:
\[
6x = k - 8
\]
2. **Second step:** Divide both sides by 6:
\[
\frac{6x}{6} = \frac{k - 8}{6}
\]
This simplifies to:
\[
x = \frac{k - 8}{6}
\]
So the specific structure of the equation that allows for dividing by 6 first and then adding 8 is \(6x + 8 = k\).
If you had a different specific equation in mind or if there's a particular context, please let me know!
\[
6x + 8 = k
\]
Here, \(k\) is any constant.
**To solve for \(x\)**, the steps would be:
1. **First step:** Subtract 8 from both sides:
\[
6x + 8 - 8 = k - 8
\]
This simplifies to:
\[
6x = k - 8
\]
2. **Second step:** Divide both sides by 6:
\[
\frac{6x}{6} = \frac{k - 8}{6}
\]
This simplifies to:
\[
x = \frac{k - 8}{6}
\]
So the specific structure of the equation that allows for dividing by 6 first and then adding 8 is \(6x + 8 = k\).
If you had a different specific equation in mind or if there's a particular context, please let me know!
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