Which graph best represents the solution to

1 over 4x−6=−4

0 2 20

0 4 20

0 8 20

0 10 20

1 answer

To find the solution to the equation, we first isolate the variable on one side of the equation. Starting with the given equation:

1/(4x - 6) = -4

We can first multiply both sides of the equation by (4x - 6) to get rid of the fraction:

1 = -4(4x - 6)

Expanding the right side of the equation:

1 = -16x + 24

Now, we can subtract 24 from both sides of the equation:

1 - 24 = -16x

-23 = -16x

Finally, we can divide both sides of the equation by -16 to solve for x:

-23/-16 = x

x = 23/16

So the solution to the equation is x = 23/16.

None of the given graphs match this solution, so none of them represent the solution to the equation.