The answer to your question"Is it possible to do this with other similar equations which consist of a fraction equal to a fraction, where the numerators are constants and one of the denominators contains a variable?" is D: Yes, but only if the numerators of both fractions are equal to each other.
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The algebraic equation is:
5/18 = 5/(4x+6)
To solve the equation algebraically, we can equate the terms in the denominators because the terms in the numerators are the same and will cancel out even if cross multiplication is done.
That is,
4x + 6 = 18
If the numerators of two fractions on opposite sides of the equality are equal, the denominators can be equated.
Similarly, if the denominators are equal, the numerators can be equated. This is because the <em>constant</em><em> terms will cancel out</em> in the long run.
For example
3/2x+2 = 3/4
Equating the denominators
2x + 2 = 4
2x = 4 - 2
2x = 2
x = 2/2
x = 1
Yes, it is possible to apply this rule for other fractions, but only if the numerators of both fractions are equal to each other.
Learn more here: brainly.com/question/13054751