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The Deep Dive
To solve the equation
, we first simplify the right side. The fraction
simplifies to
because both the numerator and the denominator can be divided by 9.
Now, our equation looks like this:
. We can cross-multiply to solve for
:
This simplifies to:
Now, divide both sides by 5:
So,
.
By understanding the process of cross-multiplication, we can apply this method to a wide range of proportion problems, making it a handy tool in both academic and everyday contexts!
Also, remember to check your work. Here, substituting back
into the original equation gives:
Both sides simplify to
or
, confirming our solution is correct!