Summarize the following:
You can weather false accusations if you have a strong reputation in the eyes of your boss and most of your colleagues. Begin building your reputation by maintaining a positive attitude. Smile and say "Good morning" or "hello" to everyone that you meet. Handle difficult coworkers delicately. Try to see issues from their point of view, which can help defuse tension and allow you to remain positive. Get enough sleep so that you are fully rested when you come in. Crabby people can be complainers. Some work environments are so toxic that you cannot stay positive. In that situation, you need to seriously consider leaving your job and finding another one. This depends on your workplace. Most people will appreciate the extra pair of hands when they are swamped. However, you don't want to help out too much because it makes you look like you don't have enough to do. Also pay attention to whether your coworker gives you credit for the work that you did. If they don't, you should stop helping that person. However, if they do give you credit, then you can help them out in the future. They appreciate your help and don't see you as a threat. When you tell a colleague you will do something, remember to follow through. Leave the excuses at home and make sure to fulfill your responsibilities. Consistently follow through will increase your credibility in other people's eyes. Try to be predictably reliable. If you are, people will be less likely to blame you when something goes wrong. You'll help build your credibility if you honestly admit your mistakes. People who always deny responsibility begin to look like liars. Instead, fess up. Say, "I'm sorry" and then explain the following: You understand the seriousness of the mistake. For example, you can say, "I realize this mistake might cost us the client account." You know how it happened. For example, "I was preparing the packages for mail when Sue called and I got sidetracked." You are taking steps to make sure it doesn't happen again: "To ensure I don't make this mistake again, I'll let calls go to voicemail when I'm preparing our packages for mail." If you have social media accounts, make sure they reflect positively on you. Update your LinkedIn profile and remove offensive material from Twitter, Facebook, YouTube, etc. Think about making personal accounts private. Google yourself as well. Look at the first page of results. You want that first page to reflect positively on you. It's hard to remove negative information from Google. However, you can push it off the front page by publishing something in a newspaper or trade magazine. Alternately, you can volunteer and then write an article or give an interview to a local reporter.

summary: Stay positive. Help out selectively. Keep your promises. Admit to the mistakes you do make. Maintain a professional digital presence.

Summarize the following:
Unless you are using a computer or graphing calculator, many systems of equations can only be approximately solved using this method. Your teacher or math textbook may require you to use this method so you are familiar with graphing equations as lines. You can also use this method to double-check your answers from one of the other methods. The basic idea is to graph both equations, and find the point where they intersect. The x and y values at this point will give us the value of x and the value of y in the system of equations. Keeping the two equations separate, use algebra to turn each equation into the form "y = __x + __". For example: Your first equation is 2x + y = 5. Change this to y = -2x + 5. Your second equation is -3x + 6y = 0. Change this to 6y = 3x + 0, then simplify to y = x + 0. If both equations are identical, the entire line will be an "intersection". Write infinite solutions. On a piece of graph paper, draw a vertical "y axis" and a horizontal "x axis." Starting at the point where they intersect, label the numbers 1, 2, 3, 4, etc. moving up on the y-axis, and again going right on the x-axis. Label the numbers -1, -2, etc. moving down on the y-axis and left on the x-axis. If you don't have graph paper, use a ruler to make sure the numbers are spaced precisely apart. If you are using large numbers or decimals, you may need to scale your graph differently. (For example, 10, 20, 30 or 0.1, 0.2, 0.3 instead of 1, 2, 3). Once you have an equation in the form y = __x + __, you can start graphing it by drawing a dot where the line intercepts the y-axis. This is always going to be at a y-value equal to the last number in this equation. In our examples from earlier, one line (y = -2x + 5) intercepts the y-axis at 5. The other (y = x + 0) intercepts at 0. (These are points (0,5) and (0,0) on the graph.) Use different colored pens or pencils if possible for the two lines. In the form y = __x + __, the number in front of the x is the slope of the line. Each time x increases by one, the y-value will increase by the amount of the slope. Use this information to plot the point on the graph for each line when x = 1. (Alternatively, plug in x = 1 for each equation and solve for y.) In our example, the line y = -2x + 5 has a slope of -2. At x = 1, the line moves down 2 from the point at x = 0. Draw the line segment between (0,5) and (1,3). The line y = x + 0 has a slope of . At x = 1, the line moves up from the point at x=0. Draw the line segment between (0,0) and (1,). If the lines have the same slope, the lines will never intersect, so there is no answer to the system of equations. Write no solution. Stop and look at your graph. If the lines have already crossed, skip ahead to the next step. Otherwise, make a decision based on what the lines are doing: If the lines are moving toward each other, keep plotting points in that direction. If the lines are moving away from each other, move back and plot points in the other direction, starting at x = -1. If the lines are nowhere near each other, try jumping ahead and plotting more distant points, such as at x = 10. Once the two lines intersect, the x and y values at that point are the answer to your problem. If you're lucky, the answer will be a whole number. For instance, in our examples, the two lines intersect at (2,1) so your answer is x = 2 and y = 1. In some systems of equations, the lines will intersect at a value between two whole numbers, and unless your graph is extremely precise it will be difficult to tell where this is. If this happens, you can write an answer such as "x is between 1 and 2", or use the substitution or elimination method to find the precise answer.
summary: Only use this method when told to do so. Solve both equations for y. Draw coordinate axes. Draw the y-intercept for each line. Use the slope to continue the lines. Continue plotting the lines until they intersect. Find the answer at the intersection.