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Solving a system of equations by subtraction is ideal when you see that both equations have one variable with the same coefficient with the same charge.  For example, if both equations have the variable positive 2x, you should use the subtraction method to find the value of both variables. Write one equation above the other by matching up the x and y variables and the whole numbers. Write the subtraction sign outside the quantity of the second system of equations. Ex: If your two equations are 2x + 4y = 8 and 2x + 2y = 2, then you should write the first equation over the second, with the subtraction sign outside the quantity of the second system, showing that you'll be subtracting each of the terms in that equation.  2x + 4y = 8 -(2x + 2y = 2) Now that you've lined up the two equations, all you have to do is subtract the like terms. You can take it one term at a time:  2x - 2x = 0 4y - 2y  = 2y 8 - 2 = 6 2x + 4y = 8 -(2x + 2y = 2) =  0 +  2y = 6 Once you've eliminated one of the variables by getting a term of 0 when you subtract variables with the same coefficient, you should just solve for the remaining variable by solving a regular equation. You can remove the 0 from the equation since it won't change its value.  2y = 6 Divide 2y and 6 by 2 to get y = 3 Now that you know that y = 3, you just have to plug it in to one of the original equations to solve for x. It doesn't matter which one you choose because the answer will be the same. If one of the equations looks more complicated than the other, just plug it into the easier equation.  Plug y = 3 into the equation 2x + 2y = 2 and solve for x. 2x + 2(3) = 2 2x + 6 = 2 2x = -4 x = - 2 You have solved the system of equations by subtraction. (x, y) = (-2, 3) To make sure that you solved the system of equations correctly, you can just plug in your two answers to both equations to make sure that they work both times. Here's how to do it:  Plug (-2, 3) in for (x, y) in the equation 2x + 4y = 8.  2(-2) + 4(3) = 8 -4 + 12 = 8 8 = 8   Plug (-2, 3) in for (x, y) in the equation 2x + 2y = 2.  2(-2) + 2(3) = 2 -4 + 6 = 2 2 = 2

summary: Write one equation above the other. Subtract like terms. Solve for the remaining term. Plug the term back into one of the equations to find the value of the first term. Check your answer.


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Whether or not you're likely to suit short hair depends on the shape of your face. Generally speaking, longer faces favour longer hair, and rounder faces are most suited to shorter styles. If you do have a longer face, you still shouldn't dismiss the possibility of having shorter hair; the bottom line of the matter should depend on your personal style and sense of aesthetic. Measure the length from the bottom of your ear to your chin. If it is less than 5.5cm, short hair is most recommended. Keep in mind that this is a very simplistic test and shouldn't be taken as a final indicator whether or not you should change your hairstyle. Taking the plunge and cutting your hair will be a big move, but it can be just to think to revitalize your look if you think your style is growing stale. Potential hairstyles are plentiful, and it can be overwhelming to find one that suits you. Go online and check some online galleries that specifically showcase short hairstyles. With each style that appeals to you, try to imagine what you would look like. Spiking hair, slicking it back, and waving it with your fingers are effective ways of crafting a hairstyle. Ask a hairstylist. If you're any bit unsure what you should do with your hair, you can always enlist the help of a hairstylist. Hairstylists see a wide range of different hair and face types over the course of their day, and an impartial perspective may help you figure out what you should do. Once you have a hairstyle that suits you, you can choose to dye it if you think it fits your aesthetic. Rocking short hair is sometimes considered a daring move, and it's all the moreso when you add dye to the mix. An unnatural hair colour, like orange or magenta, will bring attention to your new 'do. It is arguable that dyed hair is actually easier to pull off with shorter hair. It's also quite a bit cheaper, due to the fact you'll have less hair to colour. The great thing about hair is that it grows back; of course it's not recommended to treat it lightly or mess with a hairstyle you're already super happy with, but you can always experiment in more subtle ways. Trying out different hair colours, parting or setting your hair in difference ways, or even recutting it will give you a chance to get the hair that matches your personal preferences.  It definitely helps to keep a few online gallery tabs open. Use other persons' examples and eye down a style that suits you best; this is much easier than trying them all yourself! If you want to go through a number of hairstyles in a short period of time for testing's sake, start with the longest hairstyles, and trim it down until you reach a hairstyle you're comfortable with keeping.

summary: Decide if short hair is right for you. Choose a hairstyle. Dye your hair. Experiment with your hair.


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It is not necessary to use a non-reactive pot. When the water is boiling, add the broccoli rabe stems. Cook for 2 minutes. Cook both stems and leaves for 1 to 2 minutes more.  Take the broccoli rabe out and pat it dry with a paper towel or clean kitchen towel.
summary: Add water to a pot and boil. Add the leaves after those 2 minutes are up. Strain the broccoli rabe from the boiling water and immediately place the stems and leaves into a bowl of ice water. Leave the broccoli rabe in the ice water for several minutes.