Solved on Jan 22, 2024

Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

STEP 1

Assumptions
1. We are given the proportion $\frac{x}{5} = \frac{8}{10}$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we recognize that we have a proportion which is an equation that states that two ratios are equal. To solve for $x$ , we need to find an equivalent fraction where the numerator is $x$ and the denominator is $5$ that equals $\frac{8}{10}$ .

STEP 3

To solve the proportion, we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.
$x \cdot 10 = 5 \cdot 8$

STEP 4

Perform the multiplication on both sides of the equation.
$10x = 40$

STEP 5

Now, we need to isolate $x$ by dividing both sides of the equation by 10.
$\frac{10x}{10} = \frac{40}{10}$

STEP 6

Simplify both sides of the equation to solve for $x$ .
$x = 4$
The solution to the equation $\frac{x}{5} = \frac{8}{10}$ is $x = 4$ .

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Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

STEP 1

Assumptions
1. We are given the proportion $\frac{x}{5} = \frac{8}{10}$ .
2. We need to solve for the variable $x$ .

STEP 2

First, we recognize that we have a proportion which is an equation that states that two ratios are equal. To solve for $x$ , we need to find an equivalent fraction where the numerator is $x$ and the denominator is $5$ that equals $\frac{8}{10}$ .

STEP 3

To solve the proportion, we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.
$x \cdot 10 = 5 \cdot 8$

STEP 4

Perform the multiplication on both sides of the equation.
$10x = 40$

STEP 5

Now, we need to isolate $x$ by dividing both sides of the equation by 10.
$\frac{10x}{10} = \frac{40}{10}$

STEP 6

Simplify both sides of the equation to solve for $x$ .
$x = 4$
The solution to the equation $\frac{x}{5} = \frac{8}{10}$ is $x = 4$ .

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Solve for xxx in the equation x5=810\frac{x}{5} = \frac{8}{10}5x​=108​.

STEP 1

Assumptions1. We are given the proportion x5=810\frac{x}{5} = \frac{8}{10}5x​=108​.2. We need to solve for the variable xxx.

STEP 2

First, we recognize that we have a proportion which is an equation that states that two ratios are equal. To solve for xxx, we need to find an equivalent fraction where the numerator is xxx and the denominator is 555 that equals 810\frac{8}{10}108​.

STEP 3

To solve the proportion, we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.x⋅10=5⋅8x \cdot 10 = 5 \cdot 8x⋅10=5⋅8

STEP 4

Perform the multiplication on both sides of the equation.10x=4010x = 4010x=40

STEP 5

Now, we need to isolate xxx by dividing both sides of the equation by 10.10x10=4010\frac{10x}{10} = \frac{40}{10}1010x​=1040​

STEP 6

Simplify both sides of the equation to solve for xxx.x=4x = 4x=4The solution to the equation x5=810\frac{x}{5} = \frac{8}{10}5x​=108​ is x=4x = 4x=4.

Start learning now

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

Solve for $x$ in the equation $\frac{x}{5} = \frac{8}{10}$ .

Assumptions
1. We are given the proportion $\frac{x}{5} = \frac{8}{10}$ .
2. We need to solve for the variable $x$ .

First, we recognize that we have a proportion which is an equation that states that two ratios are equal. To solve for $x$ , we need to find an equivalent fraction where the numerator is $x$ and the denominator is $5$ that equals $\frac{8}{10}$ .

To solve the proportion, we can use cross-multiplication. This means we will multiply the numerator of one fraction by the denominator of the other fraction and set the products equal to each other.
$x \cdot 10 = 5 \cdot 8$

Perform the multiplication on both sides of the equation.
$10x = 40$

Now, we need to isolate $x$ by dividing both sides of the equation by 10.
$\frac{10x}{10} = \frac{40}{10}$

Simplify both sides of the equation to solve for $x$ .
$x = 4$
The solution to the equation $\frac{x}{5} = \frac{8}{10}$ is $x = 4$ .