This week we learned how to solve systems of equations by graphing. Systems of equations are a set of equations with the same variables. (y=2x+3z; y=4x+6z) Systems of equations are often represented as an ordered pair. For example, (3,4) means that to find the point you would go over 3 and up 4. Systems that have the same slopes are parallel , the slopes of perpendicular lines equal -1 and the if they are neither, the lines are the exact same. Whenever lines are parallel, they are called inconsistent which means their slopes are the same, but they have different y-intercepts. Inconsistent systems have no solutions. When lines of a system intersect, or meet at one point, they have different slopes, but the same y-intercept and they have one solution. Dependent systems are the same line. They have the same slope and the same y-intercept too.
This week, I learned many things about technology. I learned that you can make a web page by making a poster ID and following directions. It gives you a URL so that whenever somebody wants to learn about solving systems of equations, they can access the website.Technology can help you with your everyday life and how to access the internet to learn new things. This was a very good experience and it taught me alot about systems of equations.
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