# algebra

Decide whether the equation is an identity, a conditional equation, or a contradiction. Give the solution set.

2[3-(5-5x)] - x = -10 + 3(2 + 3x)

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2[3-(5-5x)] - x = -10 + 3(2 + 3x)
2[3-5+5x] - x = -10 + 6 + 9x
2[-2+5x] - x = -4 + 9x
-4 + 10x - x = -4 + 9x
0 = 0

If that happens, your original equation is an identity, and is true for all values of x
If the variable drops away and you end up with a true statement, it is true for all values of x (like yours)
If the variable drops away and you end up with a false statement, the equation has no solution.
e.g. 3x + 5 = 3x = 6
5 = 6, false!! Thus no value of x is that ever going to make a true statement

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Reiny
2. Classify the equation as a conditional equation, an identity, or a contradiction.
3(6q−9)+7(q+4)=5(6q+8)−5(q+1)

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