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

The equation has infinite solutions. It is an identity

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.

Answer 2

All Real Numbers

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 :)