Substitution

Level pending

If α = 3 \alpha = 3 , β = 4 \beta = 4 , and θ = 5 \theta = 5 , what is the value of α β θ \dfrac{ \alpha \cdot \beta }{ \theta } ?

12 5 \dfrac{12}{5} 1 15 4 \dfrac{15}{4} 20 3 \dfrac{20}{3}

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1 solution

Josh Speckman
Feb 11, 2014

We want to find α β θ \dfrac{ \alpha \cdot \beta }{ \theta } . We know that θ = 5 \theta = 5 , so we can switch these two values around. We can also do this with α \alpha and β \beta . So we switch in all of the numbers instead of the symbols (greek letters). We get 3 4 5 = 12 5 \dfrac{3 \cdot 4}{5} = \dfrac{12}{5} , which is the answer.

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