50 POINTS1 Solve 6 over x minus 6 equals the quantity of x over x minus 6, minus six halves. for x and determine if the solution is extraneous or not.

A. x = −6, extraneous

B. x = −6, non-extraneous

C. x = 6, non-extraneous

D, x = 6, extraneous

x = 6, extraneous

Step-by-step explanation:

6/(x - 6) = x/(x - 6) - 6/2

6/(x - 6) = x/(x - 6) - 3

6 = x - 3(x - 6)

6 = x - 3x + 18

-12 = -2x

/-2     /-2

x = 6

When you are substituting x = 6 back into the equation, it makes the denominator = 0, so this is an extraneous solution.

the balance is found at the link

step-by-step explanation:

location: point 0

step-by-step explanation:

well, -8 to 10 on a number line is 18 spaces.

1/9 of 18 is 2.

so, 4/9 of 18 must be 8.

8 spaces from -8 (a) is 0.

so, 4/9 of the way from -8 to 10 is 0!