Question

find the solution set. then indicate whether the equation is conditional, an identity, or a contradiction. 9(x - 1) = -3(3 - x) + 6x select the correct choice below and fill in any answer boxes present in your choice. a. the solution set is {}. b. the solution is the set of all real numbers. c. the solution is the empty set.

Explanation:

Step1: Expand both sides

Left: $9(x-1)=9x-9$
Right: $-3(3-x)+6x=-9+3x+6x=9x-9$

Step2: Compare both sides

$9x-9=9x-9$

Step3: Simplify the equation

Subtract $9x$ from both sides: $-9=-9$
This is always true, so all real numbers are solutions, meaning the equation is an identity.

Answer:

B. The solution is the set of all real numbers.