Question

24-3x=8-2x+16-x
Tell whether it has one solution, an infinite number of solutions, or no solutions, and identify the equation as an identity, a contradiction, or neither.
Give step by step explanation

Answer 1

Answer:

All Real Numbers

Step-by-step explanation:

Step 1:

24 - 3x = 8 - 2x + 16 - x  Equation

Step 2:

24 - 3x = - 3x + 24   Add and Subtract

Step 3:

24 = 24  Add 3x on both sides

Answer:

All Real Numbers

Hope This Helps :)

Answer 2

Answer:

The equation has infinite solutions. It is an identity

Step-by-step explanation:

24-3x=8-2x+16-x

Combine like terms

-3x +24 = -2x -x +8 + 16

-3x +24 = -3x + 24

At this point it is evident that the equation is an identity.

Any real number substituted for x will result in a true equation.