9a. Solve:

-x+1+5x=2+4x+9
Responses
identity (infinite solutions)
identity (infinite solutions)

No solution
No solution

9b. solve
-2x+7+8x=2+6x+5
Responses

identity(infinite solutions)
identity(infinite solutions)

No solution
No solution

1 answer

9a. The equation -x + 1 + 5x = 2 + 4x + 9 simplifies to 4x + 1 = 4x + 11.

Solving this equation leads to an identity, as the variable "x" cancels out on both sides:

0 = 10

Since 0 does not equal 10, there is no solution to this equation.

Therefore, the correct response is "No solution".

9b. The equation -2x + 7 + 8x = 2 + 6x + 5 simplifies to 6x + 7 = 6x + 7.

Solving this equation leads to an identity, as the variable "x" cancels out on both sides:
0 = 0

Since 0 equals 0, this equation is true for all values of "x".

Therefore, the correct response is "identity (infinite solutions)".