Question

25 - 4x = 15 - 3x + 10 - x

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.
SHOW YOUR WORKKKK!!!

Answer 1

This equation has an infinite number of solutions, so it will be an identity.

Here are the steps to solve the equation 25 - 4x = 15 - 3x + 10 - x :

25 - 4x = 15 - 3x + 10 - x Rewrite.

25 + −4x = 15 + −3x + 10 + −x

−4x + 25 = (−3x + −x)+(15 + 10) Combine the like terms.

−4x + 25 = −4x + 25 Rewrite after grouping like terms.

−4x + 25 + 4x = −4x + 25 + 4x Add 4x to both sides of the equation.

25 = 25 Lastly, subtract 25 from both sides.

25 − 25 = 25 − 25

0 = 0