by: derek mauriello, vanessa law, ivan williams. variable- a quantity or function that may assume...

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By: Derek Mauriello, Vanessa Law, Ivan Williams

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Page 1: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

By: Derek Mauriello, Vanessa Law, Ivan Williams

Page 2: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

• 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

Page 3: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

• 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

Page 4: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

• 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

Page 5: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

• 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

Page 6: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

• 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

Page 7: By: Derek Mauriello, Vanessa Law, Ivan Williams. Variable- a quantity or function that may assume any given value or set of values Isolating the y- put

• 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