Solving Equations with Variables on both sides
Objectives:
The students will be able to…
solve equations with variables on both sides
identify equations that are identities or have no
solution
How do we solve this equation?
6x + 3 = -21
What do you think would be our first
step to solve this equation?
6x + 3 = 8x – 21
Using inverse operations
move all variables to one side and
numbers to the opposite
Examples:
6x + 3 = 8x – 2
1. Move variable
2. move numbers
6x – 2 = x + 13
1. move variables
2. move numbers
3 – 2t = 7t + 4
8 – 4x = 6x – 2
-4h + 5 = h
Identity: when equations are equal.
Whatever number you choose for the variable:
the equations are always true
Examples:
10 – 8a = 2(5 – 4a)
9 + 5x = 7x + 9 – 2x
No Solution: When equations cannot
be true. Equations are not equal
6m – 5 = 7m + 7 –m 9 + 5n = 5n – 1
As soon as you recognize Identity or No
Solution: STOP and answer
Identity (ID) or No Solution (NS)
Identity or No Solution?
2(3x – 6) = 2(3x – 4)
6p + 3 = 3(2p + 1)