Question

Which of the following represents the solution of 3/2=3/2x-6/5x?

Answer 1

Answer:

$x=\frac{1}{5}$

Step-by-step explanation:

We have been given an equation $\frac{3}{2}=\frac{3}{2x}-\frac{6}{5x}$. We are supposed to solve our given equation.

Upon multiplying both sides of our equation by 10x (least common multiple of 2, 2x and 5x), we will get:

$\frac{3}{2}\times 10x=\frac{3}{2x}\times 10x-\frac{6}{5x}\times 10x$

$3\times 5x=3\times 5-6\times 2$

$15x=15-12$

$15x=3$

$\frac{15x}{15}=\frac{3}{15}$

$x=\frac{1}{5}$

Therefore, the solution for our given equation is $x=\frac{1}{5}$.

Answer 2

Multiply the entire equation by the least common denominator which would be 10 to satisfy the the 1/2 and 1/ 5 so 
15 = 15x - 12x
15 = 3x
Divide by 3 on both sides
5 = x