QuestionWhich equation is equivalent to $5 x - 4 y = -20$ ? A) $y = -9 x$ B) $y = \frac{5}{4} x - 4$ C) $y = -4 + 0.8 x$ D) $y = \frac{5}{4} x + 5$

Studdy Solution

STEP 1

Assumptions1. The given equation is $5x -4y = -20$ . We need to find the equivalent form of this equation in terms of $y$ .

STEP 2

We need to isolate $y$ on one side of the equation. We can do this by adding $4y$ to both sides of the equation.
$5x -4y +4y = -20 +4y$

STEP 3

implify the equation.
$5x = -20 +y$

STEP 4

Next, we need to isolate $y$ on one side of the equation. We can do this by adding $20$ to both sides of the equation.
$x +20 = -20 +4y +20$

STEP 5

implify the equation.
$5x +20 =4y$

STEP 6

To isolate $y$ , we need to divide every term by $4$ .
$\frac{5x +20}{4} = \frac{4y}{4}$

STEP 7

implify the equation.
$\frac{5}{4}x +5 = y$ So, the equivalent form of the given equation is $y = \frac{5}{4}x +5$ . Therefore, the correct answer is J $y=\frac{5}{4} x+5$ .

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QuestionWhich equation is equivalent to $5 x - 4 y = -20$ ? A) $y = -9 x$ B) $y = \frac{5}{4} x - 4$ C) $y = -4 + 0.8 x$ D) $y = \frac{5}{4} x + 5$

Studdy Solution

STEP 1

Assumptions1. The given equation is $5x -4y = -20$ . We need to find the equivalent form of this equation in terms of $y$ .

STEP 2

We need to isolate $y$ on one side of the equation. We can do this by adding $4y$ to both sides of the equation.
$5x -4y +4y = -20 +4y$

STEP 3

implify the equation.
$5x = -20 +y$

STEP 4

Next, we need to isolate $y$ on one side of the equation. We can do this by adding $20$ to both sides of the equation.
$x +20 = -20 +4y +20$

STEP 5

implify the equation.
$5x +20 =4y$

STEP 6

To isolate $y$ , we need to divide every term by $4$ .
$\frac{5x +20}{4} = \frac{4y}{4}$

STEP 7

implify the equation.
$\frac{5}{4}x +5 = y$ So, the equivalent form of the given equation is $y = \frac{5}{4}x +5$ . Therefore, the correct answer is J $y=\frac{5}{4} x+5$ .

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QuestionWhich equation is equivalent to 5x−4y=−205 x - 4 y = -205x−4y=−20? A) y=−9xy = -9 xy=−9x B) y=54x−4y = \frac{5}{4} x - 4y=45​x−4 C) y=−4+0.8xy = -4 + 0.8 xy=−4+0.8x D) y=54x+5y = \frac{5}{4} x + 5y=45​x+5

Studdy Solution

STEP 1

Assumptions1. The given equation is 5x−4y=−205x -4y = -205x−4y=−20 . We need to find the equivalent form of this equation in terms of yyy.

STEP 2

We need to isolate yyy on one side of the equation. We can do this by adding 4y4y4y to both sides of the equation.5x−4y+4y=−20+4y5x -4y +4y = -20 +4y5x−4y+4y=−20+4y

STEP 3

implify the equation.5x=−20+y5x = -20 +y5x=−20+y

STEP 4

Next, we need to isolate yyy on one side of the equation. We can do this by adding 202020 to both sides of the equation.x+20=−20+4y+20x +20 = -20 +4y +20x+20=−20+4y+20

STEP 5

implify the equation.5x+20=4y5x +20 =4y5x+20=4y

STEP 6

To isolate yyy, we need to divide every term by 444.5x+204=4y4\frac{5x +20}{4} = \frac{4y}{4}45x+20​=44y​

STEP 7

implify the equation.54x+5=y\frac{5}{4}x +5 = y45​x+5=ySo, the equivalent form of the given equation is y=54x+5y = \frac{5}{4}x +5y=45​x+5. Therefore, the correct answer is J y=54x+5y=\frac{5}{4} x+5y=45​x+5.

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Studdy solves anything!

Start learning now

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

QuestionWhich equation is equivalent to $5 x - 4 y = -20$ ? A) $y = -9 x$ B) $y = \frac{5}{4} x - 4$ C) $y = -4 + 0.8 x$ D) $y = \frac{5}{4} x + 5$

Assumptions1. The given equation is $5x -4y = -20$ . We need to find the equivalent form of this equation in terms of $y$ .

We need to isolate $y$ on one side of the equation. We can do this by adding $4y$ to both sides of the equation.
$5x -4y +4y = -20 +4y$

implify the equation.
$5x = -20 +y$

Next, we need to isolate $y$ on one side of the equation. We can do this by adding $20$ to both sides of the equation.
$x +20 = -20 +4y +20$

implify the equation.
$5x +20 =4y$

To isolate $y$ , we need to divide every term by $4$ .
$\frac{5x +20}{4} = \frac{4y}{4}$

implify the equation.
$\frac{5}{4}x +5 = y$ So, the equivalent form of the given equation is $y = \frac{5}{4}x +5$ . Therefore, the correct answer is J $y=\frac{5}{4} x+5$ .