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3 years ago

Tell whether x and y show direct variation.Explain your reasoning.If so, find k #3

Mathematics

2 answers:

WINSTONCH [101]3 years ago

7 0

Answer:

x and y do not show direct variation.

Step-by-step explanation:

The formula for direct variation is

y = kx Divide each side by y

k = y/x

k should have the same value for every point except, of course, (0,0)

For the first point,

k = 2/(-1) = -2

For the third point,

k = 2/1 = 2

The values of k are different, so x and y <em>do not</em> show direct variation.

NikAS [45]3 years ago

3 0

Answer:x and y do not show direct variation.

Step-by-step explanation:

The formula for direct variation is

y = kx Divide each side by y

k = y/x

k should have the same value for every point except, of course, (0,0)

For the first point,

k = 2/(-1) = -2

For the third point,

k = 2/1 = 2

The values of k are different, so x and y do not show direct variation.

Read more on Brainly.com - brainly.com/question/11833516#readmore

Step-by-step explanation:

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a and b are dimensionally homogenous but c and d aren't.

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Therefore,

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Hope this helps

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3 years ago

Find the value of y in the solution to the system of equations shown.

Kryger [21]

Answer:

C. y = 20

Step-by-step explanation:

Given system of equations:

$\begin{cases}3y = 18x + 6\\y = 2x + 14\end{cases}$

Multiply the second equation by 3:

$\implies (3)y=(3)2x+(3)14$

$\implies 3y=6x+42$

Subtract this from the first equation to eliminate 3y:

$\begin{array}{r l}3y & = 18x+6\\-\quad3y&=6x+42\\\cline{1-2}0&=12x-36\end{array}$

Solve the resulting equation for x:

$\implies 12x-36=0$

$\implies 12x=36$

$\implies x=3$

Substitute the found value of x into the original second equation and solve for y:

$\implies y=2(3)+14$

$\implies y=6+14$

$\implies y=20$

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