x - 3/2 = x + 8/6

Question

I don't know how to do it so I am wondering if any of y'all could help..?

Answer 1

Hi Bri;

I agree with Michael.  However, today, as I was working on these answers, another Wyzant explained that sometimes he, as insructor, wants an attempted resolution with the conclusion of "no solution".

Let's resolve...

x - 3/2 = x + 8/6

The x on each side cancels...

- 3/2 = 8/6

Let's be certain these are not equal.

2 and 6 are denominators (divisors).  Let's multiply both sides by 6...

6(- 3/2)=6(8/6)

-9=8

No solution.

Answer 2

x-3/2=x+8/6  There is no solution, since if you add 8/6 to any number your result is greater than the number and certainly can't be the result of subtracting 3/2 from the number.