INPUT ARTICLE: Article: 18 Albert Lords 35 Lydia Findly 38 Edward C. Briggs 45 Roberta T. Morgan 60 Trevor F. White Obviously, there are no numbers on the keypad, and typing in each name is too much work, but if you look at the first letters of each name you'll see that it spells out the word "ALERT." Enter the word "ALERT" on it, and the door will unlock.

SUMMARY: Arrange the names in the Reaper's list from YOUNGEST to OLDEST: Decipher the code further. Activate the keypad.

In one sentence, describe what the following article is about: Set up your two equations in standard format and look at the coefficients of each of your variables. You are looking for the circumstance where the numbers are the same but the signs are different.  Consider this example:  x−3y=5{\displaystyle x-3y=5} 2x+3y=19{\displaystyle 2x+3y=19}   By examination, you should see that the first equation contains the term −3y{\displaystyle -3y}, while the second equation contains the term 3y{\displaystyle 3y}. These two terms are opposites of each other. Working across the system from left to right, add each term of the first equation to the corresponding term of the second equation. It may be helpful simply to draw a long horizontal line across the bottom of the two equations and add downward, as you would with any ordinary addition problem. The above example works out as follows:  x−3y=5{\displaystyle x-3y=5} 2x+3y=19{\displaystyle 2x+3y=19} ------------------------- 3x=24{\displaystyle 3x=24} Because you were adding, and one of your terms contained opposites, then one of the variables should be eliminated from the problem. Rewrite what you have left as a single equation.  In the example above, the y{\displaystyle y} variable was eliminated. The remaining equation is 3x=24{\displaystyle 3x=24}. Because one of the variables gets eliminated in this method, as with the prior subtraction method, some textbooks will refer to this as the “elimination” method of solving a system of equations. What you have left should be a fairly simple, one-variable equation. Solve it by dividing both sides of the equation by the coefficient. In the example above, divide both sides of 3x=24{\displaystyle 3x=24} by 3. You will be left with the solution x=8{\displaystyle x=8}. Take that solution, in our example x=8, and substitute it in place of x{\displaystyle x} in either one of the original equations. Choose the first equation:   x−3y=5{\displaystyle x-3y=5}          (original equation)  8−3y=5{\displaystyle 8-3y=5}          (insert value of x) -3y={\displaystyle 3y=}-3{\displaystyle 3}       <subtract 8 from both sides)  y=1{\displaystyle y=1}            (divide both sides by -3, to get solution) Verify that you have done the work correctly by checking your solutions. You should be able to place your two solutions, in this example x=8{\displaystyle x=8} and y=1{\displaystyle y=1}, into each of the original equations. When you then simplify the equations, you will get true statements.  For example, start with the first equation:   x−3y=5{\displaystyle x-3y=5}         (original equation)  8−3∗1=5{\displaystyle 8-3*1=5}        (insert values of x and y)  8−3=5{\displaystyle 8-3=5}         (simplify multiplication)  5=5{\displaystyle 5=5}           (simplify subtraction to get solution) The true statement 5=5 shows that the solution is correct.   Now try the second equation:   2x+3y=19{\displaystyle 2x+3y=19}           (original equation)  2∗8+3∗1=19{\displaystyle 2*8+3*1=19}         (insert values of x and y)  16+3=19{\displaystyle 16+3=19}           (simplify multiplication)  19=19{\displaystyle 19=19}            (simplify addition to get solution) The true statement 19=19 shows that the solution is correct. The final solution, which you have proven to work in both equations, is x=8{\displaystyle x=8} and y=1{\displaystyle y=1}. If you are working on graphing linear functions, you may also write your solution as an ordered pair. This for this example, you would write x=8{\displaystyle x=8} and y=1{\displaystyle y=1} in the form (8,1){\displaystyle (8,1)}.
Summary: Examine the equations in standard format. Add corresponding terms. Write out the result. Solve for the remaining variable. Solve the second variable. Check your two solutions. Write out your solution.

INPUT ARTICLE: Article: Don’t just offer a blanket “I’m sorry.” Think carefully about what you are really apologizing for, and be specific when you say you’re sorry.  If you know you hurt your friend’s feelings, apologize for what you said. Say something like, “I’m really sorry I called you stupid. I respect you way more than that and my words were careless and rude.” You might say, “I’m sorry that I waited so long to call you after the fight,” if you honestly don’t think the argument was your fault. After you apologize, let your friend talk. Listen carefully to what your friend has to say, and try not to be defensive when they tell you what they think about the fight. You might have done something to hurt or upset them that you don’t even realize. You can talk about what happened, but don’t use this as an excuse to rehash the fight itself. Focus on using “I” statements that focus on your perspective rather than “you” statements that are centered on blame.  You could say something like, “I was feeling stressed out already that day and I lost my temper, and I shouldn't have done that” or “I felt really frustrated when you weren’t listening to me, but I shouldn’t have snapped at you.” Don't make excuses for your behavior. It's okay to explain how you were feeling, but be sure to take responsibility for your words and actions. A lot of times, once you’ve apologized, your friend will say “I’m sorry too.” If they do, let them know you accept their apology and you’re ready to get things back to normal. If your friend doesn’t apologize, ask yourself whether it’s more important to hear them say they’re sorry or to have your friend back. Your friend may not be ready to forgive you or even to end the argument. Respect your friend’s emotions, but don’t let them pull you back into the fight.  If your friend is still mad, ask what you can do to make it better. If they give you an answer, try to do that. If they say nothing, your friend may need more time, or they may want to end the friendship.  Try to be patient with your friend as they take the time to heal after your argument. They may need more time than you do, and that's okay. Whether you and your friend have repaired the friendship or your friend is still upset, try to end the conversation positively.  If you’ve made up, leave with a big hug and plans to hang out soon. If your friend is still upset, close the conversation by saying something like, “I still love you and I’ll be here if you want to talk.”

SUMMARY:
Offer a sincere and specific apology. Give your friend a chance to tell their side of the story. Share your thoughts about the argument. Accept your friend’s apology if they say they’re sorry. Give your friend more time if they're still angry. End on a positive note.