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Solving for Variables (Y)

Solving for Variables (Y). By: Derek Mauriello, Vanessa Law, Ivan Williams. Definitions. Variable - a quantity or function that may assume any given value or set of values Isolating the “y” - put the y variable by itself to solve an equation

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Solving for Variables (Y)

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  1. Solving for Variables(Y) By: Derek Mauriello, Vanessa Law, Ivan Williams

  2. Definitions • Variable- a quantity or function that may assume any given value or set of values • Isolating the “y”- put the y variable by itself to solve an equation • Substituting to solve for “y”- substitute x-coordinate point to solve for the y-coordinate point • Using Substitution to solve for “y”- two different equation to substitute

  3. Isolating The “Y” • The y-variable is accompanied by a integer on the left side • In order to isolate the y-variable the y must be by itself, in order to do that the integer has to use inverse operation • Since the y has a value of 2, the value will be divided on both sides • Now the y is finally isolated! • 2y – 7 = 6x - 1 • 2y – 7 = 6x - 1 • +7 +7 • 2y = 6x + 6 • 2y = 6x + 6 • 2 2 2 • y = 3x + 3 Inverse Division

  4. Using Combination To Solve For “Y” • There are two equations now since there y can be “cancelled out” we can add the two equations, then use the inverse • Now that we have x we need to substitute into an equation • 6x – 7 = 2y – 1 • +-5x + 4=-2y - 5 • x -3= -6 • +3 +3 • x = - 3 • 6 (-3) – 7 = 2y – 1 • -18 – 7 = 2y – 1 • -25 = 2y – 1 • +1 +1 • -24 = 2y • 2 2 • y = -12

  5. Substituting To Solve For “Y” • So we have the x-coordinate point is 4 and we want to solve for the y-coordinate point so we substitute • Then we multiply 3 and 4 which equals 12 • After, add 12 and 3 which equals 15 • The coordinate points would be (4, 15) • y = 3x + 3 • y = 3 (4) + 3 • y = 12 + 3 • y = 15

  6. Common Mistakes • Make sure what you do on 1 side of the equal sign you do the exact same thing on the other • Don’t forget to use the inverse to isolate the y • Make sure when substituting the x-coordinate you use PEMDAS to get the right result for the y-coordinate

  7. Cites: • http://dictionary.reference.com/ • http://www.google.com/imghp?hl=en&tab=wi • http://www.youtube.com/ -First Song: School Of Rock- Jack Black -Second Song: All I Do Is Solve (WSHS Math Rap Song) Original Song is All I Do Is Win by DJ Khaled

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