Thursday, September 19, 2013

What are two symbolic techniques used to solve linear equations? Which do you feel is better? Explain why. • Post an example for your class to solve.

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There are more than two techniques used to solve linear equations, but two of the different methods that I chose to solve with are by using graphing, and by using elimination. Graphing can be used by solving for the intercepts of the equation, by solving with x equal to zero, and with y equal to zero. This is the quickest way to find the x and y intercepts, and draw a line in-between them. Another method is to make sure that the represented b in this equation is the y intercept. The slope is the m in the equation. The second method is to solve by elimination. This method makes it so that either the x or y variable in the two linear equations can be multiplied to equal the variable in the other equation. This makes one of the variables equal to the other side, and then can be combined to solve for the second variable. The value that you come up with is then plugged into the original equation and then solved for the other variable. A third method is to solve by using substitution. This method sets one equation equal to a single variable such as y, then plugging that value in for the y in the other equation. This method is the most difficult. I prefer solving using graphing. This is how I would most easily solve two linear equations. My Classmates can solve this problem: 3x+4=y, and 4x-6=y

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