Answer:
c) 2/3
Step-by-step explanation:
The given proportion is
\(\frac{6x+1}{7}=\frac{18x-2}{14}\)
\(\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\\\\left(6x+1\right)\cdot \:14=7\left(18x-2\right)\\\\84x+14=126x-14\)
Now subtract 14 to both sides
\(84x+14-14=126x-14-14\)
On simplifying
\(84x=126x-28\\\\42x=-28\)
Now, divide both sides by 42
\(x=\frac{-28}{42}\\\\x=\frac{2}{3}\)
Thus, the value of x is 2/3
c is the correct option.
