Question

Solve the equation and show your work. Tell whether it has one solution, an infinite number of

solutions, or no solutions, and identify each equation as an identity, a contradiction, or neither
24 - 4x = 15 - 3x + 10 - x

Answer 1

Hello!

To solve any algebraic equation, you need to use SADMEP. SADMEP is an acronym for subtraction, addition, division, multiplication, exponents and parentheses. Our goal is to isolate the variable, x.

24 - 4x = 15 - 3x + 10 - x (simplify)

24 - 4x = 25 - 4x (subtract 24 from both sides)

-4x = 1 - 4x (add 4x to both sides)

1 = 0

This equation has no solutions because 1 and 0 are never equal to each other, which means that this is identified to be neither because it has no real solutions.