Question

Which of the following represents the solution of 3/2 = 3x/2x minus 6/5X

a) x=1/5
b)x=5/9
c)all real numbers
d)no solution

(im pretty bad at math)

Answer 1

CORRECT ANSWER IS 1/5

Explanation:

Answer 2

Answer: d) No solution.

Explanation:

Given the equation:

`(3)/(2)=(3x)/(2x)-(6)/(5x)`

The denominator of the fractions cannot be zero, then, the Domain is:

`x\\eq 0`

Simplify:

`(3)/(2)=(3)/(2)-(6)/(5x)`

Subtract
`(3)/(2)` from both sides of the equation. Then you get:

`(3)/(2)-((3)/(2))=(3)/(2)-(6)/(5x)-((3)/(2))\\\\0=-(6)/(5x)`

Multiply both sides of the equation by
`5x` (
`5x \\eq 0`), then:

`(5x)(0)=(-(6)/(5x))(5x)`

Since the multiplication of
`5x` by zero is zero, you get:

`0=-6` (This is FALSE)

Therefore, since there is no value for the variable that makes the equation true, the equation has NO SOLUTION.