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[tex]\frac{1}{2}x +\frac{1}{4} = \frac{1}{3}x + \frac{5}{4}[/tex]

Select the appropriate response
A)x=8
B)x=6
C)x = 10
D)x = 11

Respuesta :

opudodennis

Answer:

B)x=6

Step-by-step explanation:

Given the equation [tex]\frac{1}{2}x+\frac{1}{4}=\frac{1}{3}x+\frac{5}{4}[/tex]

-We first group the like terms on the same side of the equal side;

[tex]\frac{1}{2}x-\frac{1}{3}x=\frac{5}{4}-\frac{1}{4}\\\\\\\\\frac{1}{6}x=1[/tex]

#Multiply both sides by 6 to remove denominator;

[tex]6\times \frac{1}{6}x=1\times6\\\\x=6[/tex]

Hence, x=6

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