The green goober, a wildly unpopular superhero, mixes 3 liters of yellow paint with 5 liters of blue paint to make 8 liters of special green paint for his costume. write an equation that relates the amounts (in liters) of yellow paint (y) and blue paint (b)needed to make the green goober's special green paint.

The equation is y = 0.6b or b = 1.667y

Step-by-step explanation: According to the question, y is for yellow and b is for blue.

We know that the proportion fo yellow paint needed for the mixture is 3l in a total of 8l. So:

y =

For blue paint, the proportion is 5l in 8l. So:

b =

Doing and isolating y, we have:

y =

y = 0.6b

To know the proportionality of b over y:

b =

b = 1.67y

The equations that related yellow and blue paint are y=0.6b or b=1.67y.

{x = -1/2 ,   y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer:   {x = -1/2 ,   y = -1

h/o/e/s mad

step-by-step explanation:

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