Question

`(1)/(2)x +(1)/(4) = (1)/(3)x + (5)/(4)`

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

Answer 1

B)x=6

Explanation:

Given the equation
`(1)/(2)x+(1)/(4)=(1)/(3)x+(5)/(4)`

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

`(1)/(2)x-(1)/(3)x=(5)/(4)-(1)/(4)\\\\\\\\(1)/(6)x=1`

#Multiply both sides by 6 to remove denominator;

`6* (1)/(6)x=1*6\\\\x=6`

Hence, x=6