Summarize the following:
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

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.


Summarize the following:
While clematis aren't prone to being affected by pests, they can get a fungal disease that can cause the entire plant to turn black and die. If you see a dead or wilting stem on the clematis, use a clean pair of pruning shears to trim it away at the base. Disinfect the shears in an isopropyl alcohol or a bleach solution between cuts so you don't spread the disease to other parts of the plant. Since flowering becomes less abundant on stems over 4 years old, you can cut off the oldest stems to encourage new ones to grow. Wait until after the first bloom of the season, then use a pair of clean pruning shears to remove the stems at the base stem. Clematis does well with an annual pruning to encourage fresh growth. However, different cultivars require pruning at different times of year. It's important to know exactly when to prune your specific cultivar, since you can damage the plant if you prune it at the wrong time of year.   Plants that bloom on old wood, meaning the flowers appear on last year's stems, require no pruning except to cut back their size a bit and keep them contained. After they flower, prune back to a pair of healthy buds. (Apple Blossom is in this group.)  Plants that bloom first on old wood and again on new wood, meaning the flowers appear on last year's stems and new spring stems, need to be pruned to remove weak growth. Prune them in early spring, before they bloom, to remove weaker stems, then again after they bloom to improve their shape. (Nelly Moser and Ernest Markham are in this group.)  Plants that bloom on new wood, meaning the flowers appear only on new spring stems, should be cut back to 12 inches at the beginning of spring. (This includes Niobe, Princess Diana, Jackmanii, and Venosa Violacea.)

summary: Prune dead or damaged stems at any time. Prune away the oldest stems. Perform annual pruning according to the cultivar's requirements.


Summarize the following:
Do a sweep of outside areas to locate and remove any unsafe items that might be dangerous for a mobile baby. Items like lawn equipment, toys for older children, and gardening tools should be kept in a locked shed out of the reach of your baby. Call your garage door manufacturer to install a motion detector on the garage door to ensure that it will stop closing if it detects the motion of your child nearby. If you have a pool, install special exterior baby gates around it and make sure to always monitor your baby when he or she is outside. A fence that is at least four feet tall with gaps no wider than three inches should be installed around the perimeter of the pool. For extra protection, cover the pool with a rigid, motorized cover, as flimsy plastic covers can cave in if a child walks on top. Pool professionals in your area can recommend specific products and install all of your pool safety needs. If your home has an alarm system, set it to chime or beep whenever a door or window is opened. This will help you to intercept an escaping child and prevent disaster before it occurs.
summary: Remove any unsafe items from your yard. Install a motion detector in your garage. Take precautions if you have a pool. Set up an alarm system.