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

2. 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 Y = 6 + 3X NO NO
B X + 3Y = 6 NO
C = 3Y – 2X
YES
D. Y = 6X - 2
YES
E X = Y

3. 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 -

4. 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

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

6. 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

7. -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)

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

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

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

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

12. 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)