Rewrite the equation 5/2x−8−1=9 as two equations joined by “and.”(1 point)

5/2x−8=9 and x≠−8

The correct answer is:

5/2x−8=9 and x≠−4

To rewrite the equation 5/2x - 8 - 1 = 9 as two equations joined by "and," we need to isolate the variable x.

First, let's simplify the equation by combining like terms on the left side:

5/2x - 9 = 9

Next, let's isolate the variable x by adding 9 to both sides of the equation:

5/2x = 9 + 9
5/2x = 18

Now, we can divide both sides of the equation by 5/2 to solve for x:

(5/2x)/(5/2) = 18/(5/2)
x = 18/(5/2)
x = 18 * 2/5
x = 36/5

So, the equation is rewritten as:

5/2x - 8 - 1 = 9 and x ≠ 36/5