What value will complete the set of equations 15/3x−9 − 4=12

and x≠
_____?(1 point)
The value that completes the set of equations is x≠

1 answer

We have the equation 15/(3x−9) − 4=12.

To find the value that completes the set of equations, we need to solve for x.

First, let's isolate the fraction by adding 4 to both sides of the equation:

15/(3x−9) = 12 + 4

15/(3x−9) = 16

Next, we can cross-multiply:

15 = 16(3x−9)

Expand the right side of the equation:

15 = 48x−144

Now, let's isolate x by adding 144 to both sides of the equation:

15 + 144 = 48x

159 = 48x

Finally, divide both sides of the equation by 48 to solve for x:

159/48 = x

x = 3.3125

Therefore, the value that completes the set of equations is x ≠ 3.3125.