When solving the equation 5/18=5/4x+6 algebraically, it is possible to set the denominators of the fractions equal to each other. 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?

A. No, not even if the numerators of both fractions are equal to 5.
B. No, not even if the numerators of both fractions are equal to each other
C. Yes, but only if the numerators of both fractions are equal to 5.
D. Yes, but only if the numerators of both fractions are equal to each other,

D it makes the most since as both numerators are equal to each other and the denominators will have to be the same for them to be equal.

Step-by-step explanation:

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.