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:
(B) [tex]x=\frac{29}{8c}[/tex]
Step-by-step explanation:
The given expression is:
[tex]\frac{2}{3}(cx+\frac{1}{2})-\frac{1}{4}=\frac{5}{2}[/tex]
Upon solving the above equation, we have
⇒[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{5}{2}+\frac{1}{4}[/tex]
⇒[tex]\frac{2}{3}(cx+\frac{1}{2})=\frac{11}{4}[/tex]
⇒[tex](cx+\frac{1}{2})=\frac{33}{8}[/tex]
⇒[tex]cx=\frac{33}{8}-\frac{1}{2}[/tex]
⇒[tex]cx=\frac{29}{8}[/tex]
⇒[tex]x=\frac{29}{8c}[/tex]
which is the required value of x in terms of c.
Hence, option (B) is correct.
