Solved on Jan 22, 2024

Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

STEP 1

Assumptions
1. We are given the equation $1.5x + 3.9 = 8.4$ .
2. We need to solve for $x$ .
3. We will perform algebraic operations to isolate $x$ on one side of the equation.

STEP 2

First, we need to isolate the term with $x$ by eliminating the constant term on the same side as $x$ . In this case, we will subtract $3.9$ from both sides of the equation.
$1.5x + 3.9 - 3.9 = 8.4 - 3.9$

STEP 3

Perform the subtraction on both sides of the equation.
$1.5x = 8.4 - 3.9$

STEP 4

Calculate the result of the subtraction on the right side of the equation.
$1.5x = 4.5$

STEP 5

Now, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$ , which is $1.5$ .
$\frac{1.5x}{1.5} = \frac{4.5}{1.5}$

STEP 6

Perform the division on both sides of the equation.
$x = 3$
The solution to the equation $1.5x + 3.9 = 8.4$ is $x = 3$ .

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Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

STEP 1

Assumptions
1. We are given the equation $1.5x + 3.9 = 8.4$ .
2. We need to solve for $x$ .
3. We will perform algebraic operations to isolate $x$ on one side of the equation.

STEP 2

First, we need to isolate the term with $x$ by eliminating the constant term on the same side as $x$ . In this case, we will subtract $3.9$ from both sides of the equation.
$1.5x + 3.9 - 3.9 = 8.4 - 3.9$

STEP 3

Perform the subtraction on both sides of the equation.
$1.5x = 8.4 - 3.9$

STEP 4

Calculate the result of the subtraction on the right side of the equation.
$1.5x = 4.5$

STEP 5

Now, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$ , which is $1.5$ .
$\frac{1.5x}{1.5} = \frac{4.5}{1.5}$

STEP 6

Perform the division on both sides of the equation.
$x = 3$
The solution to the equation $1.5x + 3.9 = 8.4$ is $x = 3$ .

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Solve the linear equation 1.5x+3.9=8.41.5x + 3.9 = 8.41.5x+3.9=8.4 by subtracting 3.9 and dividing by 1.5.

STEP 1

Assumptions1. We are given the equation 1.5x+3.9=8.41.5x + 3.9 = 8.41.5x+3.9=8.4.2. We need to solve for xxx.3. We will perform algebraic operations to isolate xxx on one side of the equation.

STEP 2

First, we need to isolate the term with xxx by eliminating the constant term on the same side as xxx. In this case, we will subtract 3.93.93.9 from both sides of the equation.1.5x+3.9−3.9=8.4−3.91.5x + 3.9 - 3.9 = 8.4 - 3.91.5x+3.9−3.9=8.4−3.9

STEP 3

Perform the subtraction on both sides of the equation.1.5x=8.4−3.91.5x = 8.4 - 3.91.5x=8.4−3.9

STEP 4

Calculate the result of the subtraction on the right side of the equation.1.5x=4.51.5x = 4.51.5x=4.5

STEP 5

Now, we need to isolate xxx by dividing both sides of the equation by the coefficient of xxx, which is 1.51.51.5.1.5x1.5=4.51.5\frac{1.5x}{1.5} = \frac{4.5}{1.5}1.51.5x​=1.54.5​

STEP 6

Perform the division on both sides of the equation.x=3x = 3x=3The solution to the equation 1.5x+3.9=8.41.5x + 3.9 = 8.41.5x+3.9=8.4 is x=3x = 3x=3.

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

Solve the linear equation $1.5x + 3.9 = 8.4$ by subtracting 3.9 and dividing by 1.5.

Assumptions
1. We are given the equation $1.5x + 3.9 = 8.4$ .
2. We need to solve for $x$ .
3. We will perform algebraic operations to isolate $x$ on one side of the equation.

First, we need to isolate the term with $x$ by eliminating the constant term on the same side as $x$ . In this case, we will subtract $3.9$ from both sides of the equation.
$1.5x + 3.9 - 3.9 = 8.4 - 3.9$

Perform the subtraction on both sides of the equation.
$1.5x = 8.4 - 3.9$

Calculate the result of the subtraction on the right side of the equation.
$1.5x = 4.5$

Now, we need to isolate $x$ by dividing both sides of the equation by the coefficient of $x$ , which is $1.5$ .
$\frac{1.5x}{1.5} = \frac{4.5}{1.5}$

Perform the division on both sides of the equation.
$x = 3$
The solution to the equation $1.5x + 3.9 = 8.4$ is $x = 3$ .