Our Calculators love “ Y = “ equations Soooooooooooo, If an equation is not in “ Y = “ form, we must change it using the rules.

A. 2Y = 6 + 3X NO NO B. 2X + 3Y = 6 NO C. 6 = 3Y – 2X YES Which of these equations below are in “ Y = “ Form A. 2Y = 6 + 3X NO NO B. 2X + 3Y = 6 NO C. 6 = 3Y – 2X YES D. Y = 6X - 2 YES E. 3 + 2X = Y

3X + 4Y = (8 The Goal is to isolate Y on one side of the equation: Example: 3X + 4Y = 8 RULE 1: Put an open parenthesis in front of the constant (8) 3X + 4Y = (8 RULE 2: Place a minus “- “ sign after the constant (8) 3X + 4Y = (8 -

Example: 3X + 4Y = 8 RULE 3: Bring the “ X “ term over and put in behind the minus sign and close the parenthesis + 4Y = (8 - 3X) RULE 4: Take the coefficient of the “Y” term along with its sign and put it under the parenthesis quantity. Y = (8 – 3X) +4

Voila’ Y = (8 – 3X) +4 The equation is now calculator friendly

5X + 2Y = 16 5X + 2Y = (16 5X + 2Y = (16 – + 2Y = (16 – 5X) Let’s do a few problems together: 5X + 2Y = 16 5X + 2Y = (16 5X + 2Y = (16 – + 2Y = (16 – 5X) Y = (16 – 5X) +2

-6X – 2Y = 1 -6X – 2Y = (1 -6X – 2Y = (1 – – 2Y = (1 – -6X) Another one this time with a negative y -6X – 2Y = 1 -6X – 2Y = (1 -6X – 2Y = (1 – – 2Y = (1 – -6X) Y = (1 – -6X) or (1 + 6X) -2 -2

Another one this time with a X on the right 2Y = 6X +1 2Y = (6X + 1) Y = (6X + 1) 2

One More…. 3Y + 2X = 6 3Y + 2X = (6 3Y = (6X - 2X) Y = (6 – 2X) 3

Now it’s your turn…. 6X + 3Y = 4 Y = ( 4 – 6X ) 3

Now it’s your turn…. 4X – Y = -8 Y = (-8 – 4X ) -1

3X + 4Y = -6 6X – 2Y = 3 X – Y = 4 Y + X = 6 -2X – 3Y = -5 Now you do these: Y = (-6 – 3X) 4 3X + 4Y = -6 6X – 2Y = 3 X – Y = 4 Y + X = 6 -2X – 3Y = -5 Y = (3 - 6X) -2 Y = (4 - X) -1 Y = (6 - X) 1 Y = (5 - -2X) or (5 + 2X) -3 -3