Question

Which of the following is the solution to the equation 2 over 3x = 12?

x = 4
x = 8
x = 18
x = 24

Answer 1

$\frac{2}{3}x =12=\ \textgreater \ \frac{2x}{3} = \frac{13*3}{3} =\ \textgreater \ 2x=36=\ \textgreater \ x=18.\\\\ The~answer~is:X=18$

Answer 2

Answer:

x=18

Step-by-step explanation:

We have been given the rational equation

$\frac{2}{3}x=12$

Multiply both sides by 3 in order to eliminate 3 from the denominator

$\frac{2x}{3}\times3=12\times3\\\\2x=36$

Now, we need to eliminate 2 from the left hand side to isolate x. Since, 2 is in multiplication with x hence to eliminate 2 we can divide both sides by 2

$\frac{2x}{2}=\frac{36}{2}\\\\x=18$

Hence, the value of x is 18.

Second option is correct.