Justify each step in solving the equation 7x = 2(x - 5) by writing a reason for each statement. Drag the answers into the boxes
to correctly complete the proof. Statement Reason 1. 7x = 2(x - 5) 2. 7x = 2x - 10 3. 5x = -10 4. x = -2 Division Property of EqualityGivenSubtraction Property of EqualityDistributive Property
1 answer:
Let's solve this equation and put the words with it along the way.
1) 7x = 2(x - 5) [given: this is, well, the problem]
2) 7x = 2x - 10 [Distributive Property: 2 was distributed throughout (x-5)]
3) 5x = -10 [Subtraction Property of Equality: We subtracted 2x on both sides]
4) x = -2 [Division Property of Equality: We divided both sides by 5]
Hope this helps!
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