I am never able to do these, their so confusing yet SO easy- please help!

a) independent: area to be painted in sq ft

dependent: amount of paint needed in gallons

b) independent: amount of milligrams

dependent: amount of sleep

Step-by-step explanation:

Easy tip to remember that is almost always right:

Your X variable is always independent, and your Y variable is always dependent.

If you aren't given these variables, another thing you can do is ask for example, question a, ask yourself, "is the area you paint dependent on the amount of paint you need?" , or "is the amount of paint you need, dependent on how much your painting?"

Which variable depends on your other variable? Would help you find your dependent variable.

It makes sense that, the number of paint you need depends on how much sq ft you are painting.

a) Independent variable: x (area to be painted)

   Dependent variable: y (amount of paint needed)

b) Independent variable: x (amount of medication)

    Dependent variable: y (amount of sleep)

Step-by-step explanation:

Independent variables are variables that do not depend on other variables to determine their values.

Dependent variables are variables that depend on other variables to determine their values.

5050

hope this !

{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