Question Identify the independent and dependent variables in the equation $-2x + 5y = 20$ . Type the dependent variable. Type the independent variable(s).

Studdy Solution

STEP 1

Assumptions1. The equation given is $-x +5y =20$ . . We are asked to identify the independent and dependent variables in the equation.

STEP 2

In an equation, the independent variable is the variable that can be freely changed without any constraints. The dependent variable is the variable that depends on the value of the independent variable.

STEP 3

In the given equation, $-2x +5y =20$ , we can rearrange it to solve for $y$ .
$5y =2x +20$

STEP 4

Divide both sides of the equation by to isolate $y$ .
$y = \frac{2x}{} +4$

STEP 5

In the equation $y = \frac{2x}{5} +4$ , $y$ is the dependent variable because its value depends on the value of $x$ . $x$ is the independent variable because its value can be freely changed without any constraints.
The dependent variable is $y$ . The independent variable is $x$ .

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Question Identify the independent and dependent variables in the equation $-2x + 5y = 20$ . Type the dependent variable. Type the independent variable(s).

Studdy Solution

STEP 1

Assumptions1. The equation given is $-x +5y =20$ . . We are asked to identify the independent and dependent variables in the equation.

STEP 2

In an equation, the independent variable is the variable that can be freely changed without any constraints. The dependent variable is the variable that depends on the value of the independent variable.

STEP 3

In the given equation, $-2x +5y =20$ , we can rearrange it to solve for $y$ .
$5y =2x +20$

STEP 4

Divide both sides of the equation by to isolate $y$ .
$y = \frac{2x}{} +4$

STEP 5

In the equation $y = \frac{2x}{5} +4$ , $y$ is the dependent variable because its value depends on the value of $x$ . $x$ is the independent variable because its value can be freely changed without any constraints.
The dependent variable is $y$ . The independent variable is $x$ .

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Question Identify the independent and dependent variables in the equation −2x+5y=20-2x + 5y = 20−2x+5y=20. Type the dependent variable. Type the independent variable(s).

Studdy Solution

STEP 1

Assumptions1. The equation given is −x+5y=20-x +5y =20−x+5y=20. . We are asked to identify the independent and dependent variables in the equation.

STEP 2

In an equation, the independent variable is the variable that can be freely changed without any constraints. The dependent variable is the variable that depends on the value of the independent variable.

STEP 3

In the given equation, −2x+5y=20-2x +5y =20−2x+5y=20, we can rearrange it to solve for yyy.5y=2x+205y =2x +205y=2x+20

STEP 4

Divide both sides of the equation by to isolate yyy.y=2x+4y = \frac{2x}{} +4y=2x​+4

STEP 5

In the equation y=2x5+4y = \frac{2x}{5} +4y=52x​+4, yyy is the dependent variable because its value depends on the value of xxx. xxx is the independent variable because its value can be freely changed without any constraints.The dependent variable is yyy. The independent variable is xxx.

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Question Identify the independent and dependent variables in the equation $-2x + 5y = 20$ . Type the dependent variable. Type the independent variable(s).

Assumptions1. The equation given is $-x +5y =20$ . . We are asked to identify the independent and dependent variables in the equation.

In the given equation, $-2x +5y =20$ , we can rearrange it to solve for $y$ .
$5y =2x +20$

Divide both sides of the equation by to isolate $y$ .
$y = \frac{2x}{} +4$

In the equation $y = \frac{2x}{5} +4$ , $y$ is the dependent variable because its value depends on the value of $x$ . $x$ is the independent variable because its value can be freely changed without any constraints.
The dependent variable is $y$ . The independent variable is $x$ .