Solved on Jan 23, 2024

Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

STEP 1

Assumptions
1. We are given the equation $3 = 3n - 3$ .
2. We need to solve for the variable $n$ .

STEP 2

To isolate the variable $n$ , we first need to move the constant term on the right side of the equation to the left side. We do this by adding $3$ to both sides of the equation.
$3 + 3 = 3n - 3 + 3$

STEP 3

Now, simplify both sides of the equation.
$6 = 3n$

STEP 4

Next, we need to isolate $n$ by dividing both sides of the equation by the coefficient of $n$ , which is $3$ .
$\frac{6}{3} = \frac{3n}{3}$

STEP 5

Simplify both sides to find the value of $n$ .
$2 = n$

STEP 6

We have found the solution to the equation.
The solution set is $\{2\}$ .

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Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

STEP 1

Assumptions
1. We are given the equation $3 = 3n - 3$ .
2. We need to solve for the variable $n$ .

STEP 2

To isolate the variable $n$ , we first need to move the constant term on the right side of the equation to the left side. We do this by adding $3$ to both sides of the equation.
$3 + 3 = 3n - 3 + 3$

STEP 3

Now, simplify both sides of the equation.
$6 = 3n$

STEP 4

Next, we need to isolate $n$ by dividing both sides of the equation by the coefficient of $n$ , which is $3$ .
$\frac{6}{3} = \frac{3n}{3}$

STEP 5

Simplify both sides to find the value of $n$ .
$2 = n$

STEP 6

We have found the solution to the equation.
The solution set is $\{2\}$ .

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Solve the equation 3=3n−33=3n-33=3n−3. The solution set is {1}\{1\}{1}.

STEP 1

Assumptions1. We are given the equation 3=3n−33 = 3n - 33=3n−3.2. We need to solve for the variable nnn.

STEP 2

To isolate the variable nnn, we first need to move the constant term on the right side of the equation to the left side. We do this by adding 333 to both sides of the equation.3+3=3n−3+33 + 3 = 3n - 3 + 33+3=3n−3+3

STEP 3

Now, simplify both sides of the equation.6=3n6 = 3n6=3n

STEP 4

Next, we need to isolate nnn by dividing both sides of the equation by the coefficient of nnn, which is 333.63=3n3\frac{6}{3} = \frac{3n}{3}36​=33n​

STEP 5

Simplify both sides to find the value of nnn.2=n2 = n2=n

STEP 6

We have found the solution to the equation.The solution set is {2}\{2\}{2}.

Start learning now

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

Solve the equation $3=3n-3$ . The solution set is $\{1\}$ .

Assumptions
1. We are given the equation $3 = 3n - 3$ .
2. We need to solve for the variable $n$ .

To isolate the variable $n$ , we first need to move the constant term on the right side of the equation to the left side. We do this by adding $3$ to both sides of the equation.
$3 + 3 = 3n - 3 + 3$

Now, simplify both sides of the equation.
$6 = 3n$

Next, we need to isolate $n$ by dividing both sides of the equation by the coefficient of $n$ , which is $3$ .
$\frac{6}{3} = \frac{3n}{3}$

Simplify both sides to find the value of $n$ .
$2 = n$

We have found the solution to the equation.
The solution set is $\{2\}$ .