# Math lesson

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• Ok! Let's get started! Let's talk about how to solve systems of equations and graphing them. ﻿ When given a problem like 3x+3y=12 and y=2x+1, it can be easy but a process to solve by graphing.
• Graphs, awesome! What are the steps to solving and graphing?﻿
• First, cover the x and you're left with 3y=12. Remember, whatever variable you cover up, that is the variable you are trying to find.
• Alright! Easy enough!﻿
• ﻿To solve the equation, what would you do next?
• ﻿Next, you would divide 3 from both the 3y and the 12. You would get x=4.
• ﻿Great job! Now you would do the other way around to find y. So, cover up the 3y and you're left with 3x=12. Just like before, divide 3 from both side but x would be 0 and y would be 4.
• That's not too hard. Okay now onto the graphing. How do I do that?﻿
• When given the equation y=2x+1, the b is where you start ad the x is how you move. If the # is negative then go down, if the # is positive, go up and over.
• Okay! So basically just up and over or down and to the left depending on the #'s value.﻿
• Always remember the 3 types of solutions: one solution- which is when you have only one solution, infinitely many- the equations are on the same line when graphing, and no solution- when the graphed equations are parallel on the graph.
• ﻿Okay thank you very much!!:) Now I know how to solve and graph systems.
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