Final answer:
The multiplicative property of equality justifies the conclusions 18x = 288 and x = 16.
Step-by-step explanation:
The property that justifies the given conclusions is the multiplicative property of equality. This property states that if both sides of an equation are multiplied by the same nonzero number, then the solution remains unchanged.
In this case, we have the equation 18x = 288. To isolate x, we can divide both sides of the equation by 18, using the multiplicative property of equality. Doing so, we get x = 16, which is the solution.
So, the property that justifies the conclusions 18x = 288 and x = 16 is the multiplicative property of equality.
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