To identify which equation requires the multiplication property of equality to solve, we need to look for an equation format that involves division or fractions. The multiplication property of equality states that if you multiply both sides of an equation by the same non-zero number, the two sides remain equal.
Let's analyze the options:
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35.4 = 3.1z
This equation can be solved by dividing both sides by 3.1. (Does not require multiplication) -
201.6 = 11.2f
This equation can also be solved by dividing both sides by 11.2. (Does not require multiplication) -
3.2 = 15.1t
This is actually written as 3.2 = 15.1t/1. The fraction on the right side is a potential candidate that indicates we are dividing by 15.1. Therefore, to isolate t, we would multiply both sides by 1/15.1 or 15.1. -
201.6 = 11.2 + c
This equation can be solved by subtracting 11.2 from both sides. (Does not require multiplication)
Based on the analysis, option 3 seems to involve a division that can be resolved through multiplication, needing you to apply multiplication to isolate the variable t. Therefore, the correct response that requires the multiplication property to solve is:
3.2 = 15.1t