Solve 8n+7=31

7 answers

To solve the equation \( 8n + 7 = 31 \), follow these steps:

  1. Subtract 7 from both sides: \[ 8n + 7 - 7 = 31 - 7 \] \[ 8n = 24 \]

  2. Divide both sides by 8: \[ n = \frac{24}{8} \] \[ n = 3 \]

The solution is \( n = 3 \).

What is the first step in solving −5 = −13 +4x

To start solving the equation \( -5 = -13 + 4x \), the first step is to isolate the term containing \( x \). You can do this by adding \( 13 \) to both sides of the equation:

\[ -5 + 13 = -13 + 13 + 4x \]

This simplifies to:

\[ 8 = 4x \]

Now you can proceed to solve for \( x \).

A: divide both sides by 4

B: add 5 to both sides

C: add -5 + -13

D: add 13 to both sides

In the given options for the equation \( -5 = -13 + 4x \), the correct first step to isolate the term with \( x \) is:

D: add 13 to both sides.

This step simplifies the equation and helps you solve for \( x \). After this step, you would then divide by 4 to find the value of \( x \).

The solution to −5=−13+4x is x=2 Responses true or False

Let's solve the equation \(-5 = -13 + 4x\) to verify the solution:

  1. Start with the original equation: \[ -5 = -13 + 4x \]

  2. Add \(13\) to both sides: \[ -5 + 13 = 4x \] \[ 8 = 4x \]

  3. Divide both sides by \(4\): \[ x = \frac{8}{4} \] \[ x = 2 \]

The solution is indeed \(x = 2\).

So, the response "The solution to \(-5 = -13 + 4x\) is \(x = 2\)" is True.