Question Solve for $x$ in the equation $\frac{4}{x}=\frac{8}{10}$ .
A. The solution is $x=5$ .

Studdy Solution

STEP 1

1. The equation $\frac{4}{x}=\frac{8}{10}$ is a simple algebraic equation where $x \neq 0$ .
2. To solve for $x$ , we can use cross-multiplication or equivalent fraction methods.

STEP 2

1. Cross-multiply to solve for $x$ .
2. Simplify the resulting equation to find the value of $x$ .
3. Determine if there is one solution or no solution.

STEP 3

Cross-multiply the given equation to eliminate the fractions.
$4 \cdot 10 = 8 \cdot x$

STEP 4

Perform the multiplication on both sides of the equation.
$40 = 8x$

STEP 5

Divide both sides of the equation by 8 to solve for $x$ .
$\frac{40}{8} = \frac{8x}{8}$

STEP 6

Simplify both sides of the equation to get the value of $x$ .
$x = 5$

STEP 7

Since we found a value for $x$ , there is a solution to the equation.
The solution is $x=5$ .
The correct choice is A, and the solution is $x=5$ .

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Question Solve for $x$ in the equation $\frac{4}{x}=\frac{8}{10}$ .
A. The solution is $x=5$ .

Studdy Solution

STEP 1

1. The equation $\frac{4}{x}=\frac{8}{10}$ is a simple algebraic equation where $x \neq 0$ .
2. To solve for $x$ , we can use cross-multiplication or equivalent fraction methods.

STEP 2

1. Cross-multiply to solve for $x$ .
2. Simplify the resulting equation to find the value of $x$ .
3. Determine if there is one solution or no solution.

STEP 3

Cross-multiply the given equation to eliminate the fractions.
$4 \cdot 10 = 8 \cdot x$

STEP 4

Perform the multiplication on both sides of the equation.
$40 = 8x$

STEP 5

Divide both sides of the equation by 8 to solve for $x$ .
$\frac{40}{8} = \frac{8x}{8}$

STEP 6

Simplify both sides of the equation to get the value of $x$ .
$x = 5$

STEP 7

Since we found a value for $x$ , there is a solution to the equation.
The solution is $x=5$ .
The correct choice is A, and the solution is $x=5$ .

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Question Solve for xxx in the equation 4x=810\frac{4}{x}=\frac{8}{10}x4​=108​.A. The solution is x=5x=5x=5.

Studdy Solution

STEP 1

1. The equation 4x=810\frac{4}{x}=\frac{8}{10}x4​=108​ is a simple algebraic equation where x≠0x \neq 0x=0.2. To solve for xxx, we can use cross-multiplication or equivalent fraction methods.

STEP 2

1. Cross-multiply to solve for xxx.2. Simplify the resulting equation to find the value of xxx.3. Determine if there is one solution or no solution.

STEP 3

Cross-multiply the given equation to eliminate the fractions.4⋅10=8⋅x 4 \cdot 10 = 8 \cdot x 4⋅10=8⋅x

STEP 4

Perform the multiplication on both sides of the equation.40=8x 40 = 8x 40=8x

STEP 5

Divide both sides of the equation by 8 to solve for xxx.408=8x8 \frac{40}{8} = \frac{8x}{8} 840​=88x​

STEP 6

Simplify both sides of the equation to get the value of xxx.x=5 x = 5 x=5

STEP 7

Since we found a value for xxx, there is a solution to the equation.The solution is x=5x=5x=5.The correct choice is A, and the solution is x=5x=5x=5.

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Question Solve for $x$ in the equation $\frac{4}{x}=\frac{8}{10}$ .
A. The solution is $x=5$ .

1. The equation $\frac{4}{x}=\frac{8}{10}$ is a simple algebraic equation where $x \neq 0$ .
2. To solve for $x$ , we can use cross-multiplication or equivalent fraction methods.

1. Cross-multiply to solve for $x$ .
2. Simplify the resulting equation to find the value of $x$ .
3. Determine if there is one solution or no solution.

Cross-multiply the given equation to eliminate the fractions.
$4 \cdot 10 = 8 \cdot x$

Perform the multiplication on both sides of the equation.
$40 = 8x$

Divide both sides of the equation by 8 to solve for $x$ .
$\frac{40}{8} = \frac{8x}{8}$

Simplify both sides of the equation to get the value of $x$ .
$x = 5$

Since we found a value for $x$ , there is a solution to the equation.
The solution is $x=5$ .
The correct choice is A, and the solution is $x=5$ .