The division property of equality states that if two quantities are equal, you can divide both sides of the equation by the same non-zero number without changing the equality. Based on this property, we can identify which of the given equations can be solved using division:
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8 = a5 → This can be solved by dividing both sides by 5. (Can use division property)
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k3 = 17 → This cannot be solved using division to isolate k since it doesn't have a simple multiplication format (k is not being multiplied by a number). (Cannot use division property)
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2.35y = 4.70 → This can be solved by dividing both sides by 2.35 to isolate y. (Can use division property)
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55x = 111 → This can be solved by dividing both sides by 55 to isolate x. (Can use division property)
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4 = 10w → This can be solved by dividing both sides by 10 to isolate w. (Can use division property)
The three equations that can be solved using the division property of equality are:
- 8 = a5
- 2.35y = 4.70
- 55x = 111
- 4 = 10w
So, you can select any three from the options above (but technically all except the second can be solved using division). To choose exactly three, you could select 8 = a5, 2.35y = 4.70, and 55x = 111.