Solved on Dec 31, 2023

Solve for $w$ in the equation $4.5 = 1.5w$ , then check your solution.

STEP 1

Assumptions
1. We are given the equation $4.5 = 1.5w$ .
2. We need to solve for $w$ .
3. We will use inverse operations to isolate $w$ .

STEP 2

To solve for $w$ , we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $w$ .
$\frac{4.5}{1.5} = \frac{1.5w}{1.5}$

STEP 3

Perform the division on both sides of the equation.
$3 = w$

STEP 4

We have found the value of $w$ to be 3. Now we need to check our solution by substituting $w$ back into the original equation.

STEP 5

Substitute $w = 3$ into the original equation.
$4.5 = 1.5 \cdot 3$

STEP 6

Perform the multiplication to verify the solution.
$4.5 = 4.5$

STEP 7

Since both sides of the equation are equal, our solution $w = 3$ is correct.
The solution to the equation is $w = 3$ .

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Solve for $w$ in the equation $4.5 = 1.5w$ , then check your solution.

STEP 1

Assumptions
1. We are given the equation $4.5 = 1.5w$ .
2. We need to solve for $w$ .
3. We will use inverse operations to isolate $w$ .

STEP 2

To solve for $w$ , we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $w$ .
$\frac{4.5}{1.5} = \frac{1.5w}{1.5}$

STEP 3

Perform the division on both sides of the equation.
$3 = w$

STEP 4

We have found the value of $w$ to be 3. Now we need to check our solution by substituting $w$ back into the original equation.

STEP 5

Substitute $w = 3$ into the original equation.
$4.5 = 1.5 \cdot 3$

STEP 6

Perform the multiplication to verify the solution.
$4.5 = 4.5$

STEP 7

Since both sides of the equation are equal, our solution $w = 3$ is correct.
The solution to the equation is $w = 3$ .

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Solve for www in the equation 4.5=1.5w4.5 = 1.5w4.5=1.5w, then check your solution.

STEP 1

Assumptions1. We are given the equation 4.5=1.5w4.5 = 1.5w4.5=1.5w.2. We need to solve for www.3. We will use inverse operations to isolate www.

STEP 2

To solve for www, we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of www.4.51.5=1.5w1.5\frac{4.5}{1.5} = \frac{1.5w}{1.5}1.54.5​=1.51.5w​

STEP 3

Perform the division on both sides of the equation.3=w3 = w3=w

STEP 4

We have found the value of www to be 3. Now we need to check our solution by substituting www back into the original equation.

STEP 5

Substitute w=3w = 3w=3 into the original equation.4.5=1.5⋅34.5 = 1.5 \cdot 34.5=1.5⋅3

STEP 6

Perform the multiplication to verify the solution.4.5=4.54.5 = 4.54.5=4.5

STEP 7

Since both sides of the equation are equal, our solution w=3w = 3w=3 is correct.The solution to the equation is w=3w = 3w=3.

Start learning now

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

Solve for $w$ in the equation $4.5 = 1.5w$ , then check your solution.

Assumptions
1. We are given the equation $4.5 = 1.5w$ .
2. We need to solve for $w$ .
3. We will use inverse operations to isolate $w$ .

To solve for $w$ , we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by the coefficient of $w$ .
$\frac{4.5}{1.5} = \frac{1.5w}{1.5}$

Perform the division on both sides of the equation.
$3 = w$

We have found the value of $w$ to be 3. Now we need to check our solution by substituting $w$ back into the original equation.

Substitute $w = 3$ into the original equation.
$4.5 = 1.5 \cdot 3$

Perform the multiplication to verify the solution.
$4.5 = 4.5$

Since both sides of the equation are equal, our solution $w = 3$ is correct.
The solution to the equation is $w = 3$ .