In one sentence, describe what the following article is about: Before making a large purchase, you want to research what you're buying to figure out if it's worth it to you. Comparing different cell phones, car brands, or designer watches may change your mind about what you're buying. Do your research before making your big buy. You'll want an accurate record of your purchase in the event that you need to replace or return it. This is especially true if you're paying with cash, since you'll have no way to prove what you bought without a receipt. Store your receipt somewhere safe and hold on to it. You never know when you'll need it. This is particularly important if you purchased something that has a warranty. You'll need to be able to prove when you bought your item in order to get it replaced. After you've made your big purchase, think about what you would do differently the next time. Whether or not you stayed within your budget, paid back your loan, or consistently met your savings goals are important questions to ask. Figuring out what went well and what you could improve upon will help you out the next time you want to buy something expensive. Think about how your purchase feels. If you're content, good. But if you feel guilty or bad about what you bought, try to figure out why. This will keep you from making questionable purchases in the future.
Summary: Compare the prospective purchase to other brands or versions of the same item. Keep the receipt in case something is wrong with your purchase. Evaluate the entire process for future purchases.

It doesn't matter which equation you use, as long as you use the original equation, or an equation where you've isolated the x{\displaystyle x} variable. This will allow you to find the value for x{\displaystyle x}. If you plug the y{\displaystyle y} value back into the second equation with the x{\displaystyle x} substitution, you will not be able to find the value of x{\displaystyle x}. For example, if you found y=9{\displaystyle y=9}, plug in 9{\displaystyle 9} for y{\displaystyle y} in the first equation:x+2y=4{\displaystyle x+2y=-4}x+2(9)=4{\displaystyle x+2(9)=-4} Remember to follow the order of operations. For example, to solve for x{\displaystyle x} in the equation x+2(9)=4{\displaystyle x+2(9)=-4}, first multiply, and then subtract 18 from each side to find the value of x{\displaystyle x}.x+2(9)=4{\displaystyle x+2(9)=-4}x+18=4{\displaystyle x+18=-4}x=22{\displaystyle x=-22}. To do this, substitute the values you found for x{\displaystyle x} and y{\displaystyle y} into both equations, and verify that the resulting equation are true. For example, if you found y=9{\displaystyle y=9} and x=22{\displaystyle x=-22}, substitute these values into both equations. So, for the first equation:(22)+2(9)=4{\displaystyle (-22)+2(9)=-4}22+18=4{\displaystyle -22+18=-4}4=4{\displaystyle -4=-4} For the second equation:2(22)+5(9)=1{\displaystyle 2(-22)+5(9)=1}44+45=1{\displaystyle -44+45=1}1=1{\displaystyle 1=1}
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One-sentence summary -- Plug in the y{\displaystyle y} value into either equation. Find the value of x{\displaystyle x}. Check your work.

Problem: Article: Make sure that the room is devoid of any furniture, window treatments and wall hangings. If the floor continues into a closet, make sure to empty it. Be cautious not to drag furniture across wood floors. Heavy furniture may scuff the hardwood and leave marks. Insert a small piece of wood behind the pry bar to provide leverage, and to prevent damaging the trim pieces. Seal all of the openingselectrical outlets, vents, and light switcheswith masking tape. Cover the light fixtures with trash bags, and secure them with masking tape. Separate the room from the rest of the house by taping the door shut or hanging plastic sheeting in the doorway. You may find gaps or gouges in the wood which need to be filled. Apply wood putty according to the manufacturer's instructions. Allow it to dry thoroughly before proceeding with your finishing. You should also protect yourself from sawdust and stain fumes by wearing a respirator. Any water spots where the wood has turned black can be treated by mixing a 50-50 solution of bleach and water to remove all or nearly all black spots.
Summary:
Prepare the area that is going to be finished. Remove trim using a pry bar. Protect the room from sawdust and stain fumes. Vacuum the floor thoroughly to remove any dust and debris.