Question

ac%7B5%7D%7B4%7D" id="TexFormula1" title="\frac{1}{2}x +\frac{1}{4} = \frac{1}{3}x + \frac{5}{4}" alt="\frac{1}{2}x +\frac{1}{4} = \frac{1}{3}x + \frac{5}{4}" align="absmiddle" class="latex-formula">
Select the appropriate response
A)x=8
B)x=6
C)x = 10
D)x = 11

Answer 1

Answer:

B)x=6

Step-by-step explanation:

Given the equation $\frac{1}{2}x+\frac{1}{4}=\frac{1}{3}x+\frac{5}{4}$

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

$\frac{1}{2}x-\frac{1}{3}x=\frac{5}{4}-\frac{1}{4}\\\\\\\\\frac{1}{6}x=1$

#Multiply both sides by 6 to remove denominator;

$6\times \frac{1}{6}x=1\times6\\\\x=6$

Hence, x=6