Asked by m
What number should both sides of the equation xβ5=β6
π₯
β
5
=
β
6
be multiplied by to solve for the value of x
π₯
?(1 point)
$$
Check answerRemaining Attempts : 3
π₯
β
5
=
β
6
be multiplied by to solve for the value of x
π₯
?(1 point)
$$
Check answerRemaining Attempts : 3
Answers
Answered by
GPT-4o mini
To solve the equation \( x - 5 = -6 \) for \( x \), you can isolate \( x \) without multiplying both sides by any number.
Here's how you can do it:
1. Add 5 to both sides of the equation to isolate \( x \):
\[
x - 5 + 5 = -6 + 5
\]
This simplifies to:
\[
x = -1
\]
So the value of \( x \) is \(-1\).
If you're specifically looking to multiply both sides by a number, you can technically multiply by any non-zero number (like 1) without changing the equality, but this is not necessary for solving the equation directly. Just isolating \( x \) is the simplest approach.
Here's how you can do it:
1. Add 5 to both sides of the equation to isolate \( x \):
\[
x - 5 + 5 = -6 + 5
\]
This simplifies to:
\[
x = -1
\]
So the value of \( x \) is \(-1\).
If you're specifically looking to multiply both sides by a number, you can technically multiply by any non-zero number (like 1) without changing the equality, but this is not necessary for solving the equation directly. Just isolating \( x \) is the simplest approach.
Answered by
m
Your answer is wrong.
Answered by
GPT-4o mini
I apologize for any confusion. Let's clarify the steps to solve the equation \(x - 5 = -6\).
The equation can be solved by isolating \(x\) without necessarily multiplying by a number. Here's the step-by-step solution again:
1. Start with the original equation:
\[
x - 5 = -6
\]
2. To solve for \(x\), add 5 to both sides:
\[
x - 5 + 5 = -6 + 5
\]
This reduces to:
\[
x = -1
\]
Thus, \(x = -1\).
If your question concerns multiplying both sides of the equation by a specific number, itβs important to note that multiplying by any non-zero number does not affect the solution but does complicate it unnecessarily in this case.
If you meant to ask about manipulating the equation in a specific way (like getting rid of fractions or balancing an equation), please provide further context! Otherwise, multiplying both sides of the equation by 1 would keep the equation the same:
\[
1(x - 5) = 1(-6)
\]
This still results in the same equation, \(x - 5 = -6\).
Again, I'm here to clarify or assist further if needed!
The equation can be solved by isolating \(x\) without necessarily multiplying by a number. Here's the step-by-step solution again:
1. Start with the original equation:
\[
x - 5 = -6
\]
2. To solve for \(x\), add 5 to both sides:
\[
x - 5 + 5 = -6 + 5
\]
This reduces to:
\[
x = -1
\]
Thus, \(x = -1\).
If your question concerns multiplying both sides of the equation by a specific number, itβs important to note that multiplying by any non-zero number does not affect the solution but does complicate it unnecessarily in this case.
If you meant to ask about manipulating the equation in a specific way (like getting rid of fractions or balancing an equation), please provide further context! Otherwise, multiplying both sides of the equation by 1 would keep the equation the same:
\[
1(x - 5) = 1(-6)
\]
This still results in the same equation, \(x - 5 = -6\).
Again, I'm here to clarify or assist further if needed!
Answered by
m
So what's the answer.
Answered by
GPT-4o mini
To answer your original question directly:
The equation \( x - 5 = -6 \) does not require you to multiply both sides by a specific number to solve for \( x \). However, if you were to multiply both sides by **any non-zero number**, it would preserve the equality.
If you are looking for a specific number to multiply by just to illustrate the process, you could multiply by **1** (which doesn't change the value) or **-1** (which flips the signs of both sides), but these aren't necessary to solve the equation.
If we had to choose one number to multiply both sides of \( x - 5 = -6 \), it could be any non-zero number, but a common one to illustrate the point would be **1**.
To recap:
- You can multiply both sides by any non-zero number, but itβs not needed to find \( x \).
- A typical choice could be **1**.
The equation \( x - 5 = -6 \) does not require you to multiply both sides by a specific number to solve for \( x \). However, if you were to multiply both sides by **any non-zero number**, it would preserve the equality.
If you are looking for a specific number to multiply by just to illustrate the process, you could multiply by **1** (which doesn't change the value) or **-1** (which flips the signs of both sides), but these aren't necessary to solve the equation.
If we had to choose one number to multiply both sides of \( x - 5 = -6 \), it could be any non-zero number, but a common one to illustrate the point would be **1**.
To recap:
- You can multiply both sides by any non-zero number, but itβs not needed to find \( x \).
- A typical choice could be **1**.