Solving Equations with Variables on both sides
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 |Move variable |
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| |2. move numbers |
|6x – 2 = x + 13 |move variables |
| |move numbers |
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|3 – 2t = 7t + 4 | |
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|8 – 4x = 6x – 2 |-4h + 5 = h |
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Identity: when equations are equal. Whatever number you choose for the variable: the equations are always true
Examples:
|10 – 8a = 2(5 – 4a) | |
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|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 |
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|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)
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