Which of the following should be done to both sides of the equation x + 11 = −17 to solve the value of x ?

Question

subtract 17
add 11
subtract 11
add 17

Answer 1

To solve the equation \( x + 11 = -17 \) for \( x \), you should isolate \( x \) by eliminating the constant on the left side of the equation.

To achieve this, you should subtract 11 from both sides of the equation. Here’s how it looks:

\[ x + 11 - 11 = -17 - 11 \]

This simplifies to:

\[ x = -28 \]

So, the correct answer is to subtract 11.

Answer 2

are you sure

Answer 3

Yes, I am sure. Let's go through the steps again to clarify.

You start with the equation:

\[ x + 11 = -17 \]

To isolate \( x \), we want to eliminate the \( +11 \) on the left side. The opposite operation of adding 11 is subtracting 11. By subtracting 11 from both sides, we have:

\[ x + 11 - 11 = -17 - 11 \]

This simplifies to:

\[ x = -28 \]

So, the operation you should perform on both sides of the equation to solve for \( x \) is indeed to subtract 11.

If you have any further questions or need additional clarification, feel free to ask!

Answer 4

What is the solution of the equation x + 23 = 9?
−14
−32
14
32

Answer 5

To solve the equation \( x + 23 = 9 \), you want to isolate \( x \). You can do this by subtracting 23 from both sides:

\[ x + 23 - 23 = 9 - 23 \]

This simplifies to:

\[ x = 9 - 23 \]

Calculating the right side:

\[ x = -14 \]

So the solution to the equation \( x + 23 = 9 \) is \( \mathbf{-14} \).

Answer 6

are you sure it isn't -32

Answer 7

Let’s carefully check the equation \( x + 23 = 9 \) step by step to determine the correct solution.

1. Start with the equation: \[ x + 23 = 9 \]

2. Isolate \( x \) by subtracting 23 from both sides: \[ x = 9 - 23 \]

3. Perform the subtraction: \[ 9 - 23 = -14 \]

So, the value of \( x \) is indeed \( -14 \), not \( -32 \).

If \( x + 23 \) were set equal to some other number, you might have a different answer, but for the equation you provided, the correct solution is \( -14 \). Please let me know if you have another equation or any further questions!

Answer 8

Which of the following equations has a solution of −8?
x − 10 = 2
x + 3 = −11
x − 4 = −12
x − 8 = 0

Answer 9

Let's check each equation one by one to see which one has a solution of \( -8 \).

1. For \( x - 10 = 2 \): \[ x = 2 + 10 = 12 \quad \text{(not } -8\text{)} \]

2. For \( x + 3 = -11 \): \[ x = -11 - 3 = -14 \quad \text{(not } -8\text{)} \]

3. For \( x - 4 = -12 \): \[ x = -12 + 4 = -8 \quad \text{(this works)} \]

4. For \( x - 8 = 0 \): \[ x = 8 \quad \text{(not } -8\text{)} \]

The equation that has a solution of \( -8 \) is \( x - 4 = -12. \)