Question

NEED HELP! Solve the equation for x in terms of c.

2/3(cx + 1/2) - 1/4 = 5/2

A. X = 9/4c

B. X = 29/8c

C. X = 27/8c

D. X = 29/18c

Answer 1

2/3(cx + 1/2) - 1/4 = 5/2

2cx/3+1/3-1/4=5/2

2cx3+1/12=5/2

2cx/3=5/2-1/12

2cx/3=29/12

(3)2cx/3=29/12(3)

2cx= 31/4

(2c)2cx=29/4(2c)

X=29/8c

Your answer is B. X = 29/8c

Answer 2

(B)
`x=(29)/(8c)`

Explanation:

The given expression is:

`(2)/(3)(cx+(1)/(2))-(1)/(4)=(5)/(2)`

Upon solving the above equation, we have

⇒
`(2)/(3)(cx+(1)/(2))=(5)/(2)+(1)/(4)`

⇒
`(2)/(3)(cx+(1)/(2))=(11)/(4)`

⇒
`(cx+(1)/(2))=(33)/(8)`

⇒
`cx=(33)/(8)-(1)/(2)`

⇒
`cx=(29)/(8)`

⇒
`x=(29)/(8c)`

which is the required value of x in terms of c.

Hence, option (B) is correct.