Math / Algebra

Question $\text{Substitute the values of } d \text{ and } q \text{ into the equation } q + d + n = 15 \text{ and solve for } n. \\ \text{The result is} \\ n = \\$
$\text{The user took a picture with their phone and the text was extracted above. The user then had a dialogue with an AI Assistant to help clarify the instructions.}$
$\text{Dialogue Transcript:}$
$\text{Hi there! It seems like there's some missing information that we need in order to solve the problem. Could you please provide the values of } d \text{ and } q \text{? Once we have those, we can help you find } n \text{.}$
$\text{yes}$
$\text{Great! Could you please share the values of } d \text{ and } q \text{ so we can proceed with solving for } n \text{?}$
$d \text{ equals } 1$
$\text{Thanks for providing the value of } d \text{. Could you also let me know the value of } q \text{? Once I have that, we can solve for } n \text{.}$
$q = 6$

Studdy Solution

STEP 1

What is this asking? We're given the equation $q + d + n = 15$ and the values $d = 1$ and $q = 6$ , and we need to find the value of $n$ . Watch out! Make sure to substitute the correct values for $q$ and $d$ and double-check your arithmetic!

STEP 2

1. Substitute
2. Isolate and Solve

STEP 3

Let's substitute the given values of $q$ and $d$ into the equation.
Remember, $q = \mathbf{6}$ and $d = \mathbf{1}$ .
So, our equation becomes $\mathbf{6} + \mathbf{1} + n = 15$ .
See how we just swapped out the letters for the numbers?

STEP 4

We can simplify the left side of the equation by adding $6$ and $1$ together.
This gives us $7 + n = 15$ .
We're getting closer to finding $n$ !

STEP 5

To isolate $n$ , we need to get it by itself.
We can do this by subtracting $7$ from both sides of the equation.
Remember, whatever we do to one side, we must do to the other to keep the equation balanced.
So, we have $7 + n - 7 = 15 - 7$ .

STEP 6

Now, on the left side, $7 - 7$ adds to zero, leaving just $n$ .
On the right side, $15 - 7 = 8$ .
So, we have $n = \mathbf{8}$ !
We found it!

STEP 7

The value of $n$ that satisfies the equation $q + d + n = 15$ with $q = 6$ and $d = 1$ is $n = 8$ .

Was this helpful?

Studdy Solution

STEP 1

What is this asking? We're given the equation $q + d + n = 15$ and the values $d = 1$ and $q = 6$ , and we need to find the value of $n$ . Watch out! Make sure to substitute the correct values for $q$ and $d$ and double-check your arithmetic!

STEP 2

1. Substitute
2. Isolate and Solve

STEP 3

Let's substitute the given values of $q$ and $d$ into the equation.
Remember, $q = \mathbf{6}$ and $d = \mathbf{1}$ .
So, our equation becomes $\mathbf{6} + \mathbf{1} + n = 15$ .
See how we just swapped out the letters for the numbers?

STEP 4

We can simplify the left side of the equation by adding $6$ and $1$ together.
This gives us $7 + n = 15$ .
We're getting closer to finding $n$ !

STEP 5

To isolate $n$ , we need to get it by itself.
We can do this by subtracting $7$ from both sides of the equation.
Remember, whatever we do to one side, we must do to the other to keep the equation balanced.
So, we have $7 + n - 7 = 15 - 7$ .

STEP 6

Now, on the left side, $7 - 7$ adds to zero, leaving just $n$ .
On the right side, $15 - 7 = 8$ .
So, we have $n = \mathbf{8}$ !
We found it!

STEP 7

The value of $n$ that satisfies the equation $q + d + n = 15$ with $q = 6$ and $d = 1$ is $n = 8$ .

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Studdy Solution

STEP 1

What is this asking? We're given the equation q+d+n=15q + d + n = 15q+d+n=15 and the values d=1d = 1d=1 and q=6q = 6q=6, and we need to find the value of nnn. Watch out! Make sure to substitute the correct values for qqq and ddd and double-check your arithmetic!

STEP 2

1. Substitute2. Isolate and Solve

STEP 3

Let's **substitute** the given values of qqq and ddd into the equation.Remember, q=6q = \mathbf{6}q=6 and d=1d = \mathbf{1}d=1.So, our equation becomes 6+1+n=15\mathbf{6} + \mathbf{1} + n = 156+1+n=15.See how we just swapped out the letters for the numbers?

STEP 4

We can simplify the left side of the equation by adding 666 and 111 together.This gives us 7+n=157 + n = 157+n=15.We're getting closer to finding nnn!

STEP 5

To **isolate** nnn, we need to get it by itself.We can do this by *subtracting* 777 from *both* sides of the equation.Remember, whatever we do to one side, we *must* do to the other to keep the equation balanced.So, we have 7+n−7=15−77 + n - 7 = 15 - 77+n−7=15−7.

STEP 6

Now, on the left side, 7−77 - 77−7 adds to zero, leaving just nnn.On the right side, 15−7=815 - 7 = 815−7=8.So, we have n=8n = \mathbf{8}n=8!We found it!

STEP 7

The value of nnn that satisfies the equation q+d+n=15q + d + n = 15q+d+n=15 with q=6q = 6q=6 and d=1d = 1d=1 is n=8n = 8n=8.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

What is this asking? We're given the equation $q + d + n = 15$ and the values $d = 1$ and $q = 6$ , and we need to find the value of $n$ . Watch out! Make sure to substitute the correct values for $q$ and $d$ and double-check your arithmetic!

1. Substitute
2. Isolate and Solve

Let's substitute the given values of $q$ and $d$ into the equation.
Remember, $q = \mathbf{6}$ and $d = \mathbf{1}$ .
So, our equation becomes $\mathbf{6} + \mathbf{1} + n = 15$ .
See how we just swapped out the letters for the numbers?

We can simplify the left side of the equation by adding $6$ and $1$ together.
This gives us $7 + n = 15$ .
We're getting closer to finding $n$ !

To isolate $n$ , we need to get it by itself.
We can do this by subtracting $7$ from both sides of the equation.
Remember, whatever we do to one side, we must do to the other to keep the equation balanced.
So, we have $7 + n - 7 = 15 - 7$ .

Now, on the left side, $7 - 7$ adds to zero, leaving just $n$ .
On the right side, $15 - 7 = 8$ .
So, we have $n = \mathbf{8}$ !
We found it!

The value of $n$ that satisfies the equation $q + d + n = 15$ with $q = 6$ and $d = 1$ is $n = 8$ .