Respuesta :

Options:

(A)x = StartFraction 6 over 4 EndFraction

(B)x = Negative StartFraction 6 over 4 EndFraction

(C)x minus one-fourth = negative StartFraction 5 over 4 EndFraction

(D)x = negative three-halves

(E)x = negative three-fourths

Answer:

(B)x = Negative StartFraction 6 over 4 EndFraction

[tex]-\dfrac{6}{4}[/tex]

(D)x = negative three-halves

[tex]-\dfrac{3}{2}[/tex]

Step-by-step explanation:

We want to determine which fraction is equivalent to

[tex]\dfrac{1}{4}+x=-\dfrac{5}{4}\\$First, we collect like terms$\\x=-\dfrac{5}{4}-\dfrac{1}{4} \\\\=\dfrac{-5-1}{4}\\=-\dfrac{6}{4}\\x=-\dfrac{6}{4}[/tex]

This value of x is the result in Option B.

Reducing [tex]-\dfrac{6}{4}[/tex] to its lowest form:

[tex]-\dfrac{6}{4}=-\dfrac{3}{2}[/tex] which is Option D.

Therefore, the correct options are: B and D

Answer:

its it b and d i just did the assignment it was correct

Step-by-step explanation: