Solving a system of equations by addition is ideal when you see that both equations have one variable with the same coefficient with opposite charges. For example, if one equation has the variable 3x and the other has the variable -3x, then the addition method is ideal. Write one equation above the other by matching up the x and y variables and the whole numbers. Write the addition sign outside the quantity of the second system of equations. Ex: If your two equations are 3x + 6y = 8 and x - 6y = 4, then you should write the first equation over the second, with the addition sign outside the quantity of the second system, showing that you'll be adding each of the terms in that equation. 3x + 6y = 8 +(x - 6y = 4) Now that you've lined up the two equations, all you have to do is add the like terms. You can take it one term at a time: 3x + x = 4x 6y + -6y = 0 8 + 4 = 12 When you combine it all together, you get your new product: 3x + 6y = 8 +(x - 6y = 4) = 4x + 0 = 12 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. 4x + 0 = 12 4x = 12 Divide 4x and 12 by 3 to get x = 3 Now that you know that x = 3, you just have to plug it into one of the original equations to solve for y. 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 x = 3 into the equation x - 6y = 4 to solve for y. 3 - 6y = 4 -6y = 1 Divide -6y and 1 by -6 to get y = -1/6 You have solved the system of equations by addition. (x, y) = (3, -1/6) 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 (3, -1/6) in for (x, y) in the equation 3x + 6y = 8. 3(3) + 6(-1/6) = 8 9 - 1 = 8 8 = 8 Plug (3, -1/6) in for (x, y) in the equation x - 6y = 4. 3 - (6 * -1/6) =4 3 - - 1 = 4 3 + 1 = 4 4 = 4
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One-sentence summary -- Write one equation above the other. Add like terms. Solve for the remaining term. Plug the term back into the equation to find the value of the first term. Check your answer.

Create a barrier between yourself and the rest of your household. Store everything you need for your work in your office so you can be efficient in your space. Keep everything work related out of the rest of your home to help you maintain a work-life balance. Even if you live alone, you need a space that can help you create a work-life balance. In a busy home, find a quiet area away from household noise and distractions. If you will meet with clients, work out of a room with a separate entry or that is very close to an outside door. If you do work that creates a lot of noise or dust and debris, work far away from the rest of your house in a garage, an outside structure, or a place you can easily clean, like a utility room. If you live in an apartment or small home without an extra room, you can still set up an efficient home office. Designate any separate space you can exclusively for work. This is better than working from your couch or bed. Carve out a workspace in your closet by removing the doors and installing a small table, chair, shelves, and good lighting. Put a desk, chair, shelving, and light sources in a corner of your kitchen or another room in the house. Avoid working from your bedroom to maintain the best sense of work-life balance. Find a space with a window if natural light is important to you. Put your office in an area of your home where the temperature will be comfortable for you all day. Find an office space with a door if you need it in order to shut yourself off from the rest of your home.
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One-sentence summary -- Separate your workspace from the rest of your home. Make the most of your space. Choose surroundings that are conducive to your work.

Before trying to resolve the issue, give yourself a few minutes to cool down and deal with your anger. Take a walk or excuse yourself to another room if you can. Then, breathe deeply for a few minutes to help yourself calm down. Try saying something like, "I'll be back in a few minutes. Let's talk then." Taking responsibility for your role in an argument can be a great way to defuse it and it may also prompt your brother to acknowledge responsibility as well. Think about what you could have said or done differently and then say that to your brother. For example, you might say something like, "I shouldn't have borrowed your skateboard without asking. I will try to be more considerate next time." Though it can be hard to apologize sometimes, it's important to apologize if you did something wrong. Saying, "I'm sorry," can help to smooth things over between you and your brother so you can move on. Even if the conflict between you and your brother was something that both of you played a part in, you can be the first to apologize and start working towards a resolution. Make sure your apology includes an acknowledgement that what you did was wrong and reassurance that you won't do it again. Try saying something like, "I'm sorry I called you dumb. I didn't mean it. I'll be more careful about what I say in the future." If you encounter a difficult situation with your brother, try to make up with him and find a compromise. Identify what you could do that would satisfy both of you. This can be hard to figure out sometimes, so you might need to enlist the help of an impartial friend or family member to figure it out. For example, if you had a fight with your brother over whose turn it was to use the computer, then you might work together to develop a schedule that you can use to divide time on the computer evenly. Every relationship has some hot-button issues that are best left completely untouched. Maybe you had an argument with your brother over something once or maybe you just know that bringing up a specific topic will upset him. If so, avoid these topics whenever you talk with your brother. For example, if your brother swears that you lost his favorite video game when he lent it to you, but you don't ever remember borrowing it, don't bring up the video game! If your younger brother gets angry when you discuss politics, don't talk politics in his presence.
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One-sentence summary -- Take a few minutes to calm down if you're upset with your brother. Acknowledge your role in the conflict. Apologize to smooth things over. Look for win-win solutions to conflicts. Steer clear of topics that are sure to upset you both.

You should now have an opening in the side of the fabric the length of the zipper. Sew the opening closed. Hold the zipper in place with hand basting or transparent tape. Attach the zipper foot. When you get to the end, square off and stitch across to the other side of the seam. Square off again, cross the seam, and complete the row of stitching where you started.
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One-sentence summary --
Sew the three sides without a zipper using a -inch (1.27-centimeter) seam. Press the seams open. Turn the duvet cover right side out at the zipper opening. Stitch from the corner where you put the first zipper markers. Backstitch to secure the thread. Skip the zipper hole and sew the other side in the same manner. Set your sewing machine to machine baste. Press the seam open. Center the zipper teeth over the machine-basted portion of the seam. Put the sewing machine back on its regular stitch setting. Sew on the right side of the fabric close to the zipper. Repeat the process on the other side of the zipper. Remove the machine-basting thread and the hand basting and/or transparent tape. Open the zipper to test it.