Question

Do only equations with variables on both sides have no solution? Or can the variable be just on one side? Justify your answer

CHEELE
Choose the correct answer below
OA If the variable only appears on one side of an equation, then the equation can always be solved for the variable. This means that if an equation has no solution, then the variable must appear on
both
OB. Every equation with variables on both sides has no solution. However, it is also possible for an equation with the variable on only one side to also have no solution
OC. Any equation can have one solution, infinitoly many solutions, or no solutions. This does not depend on whether the variable appears on only one side or on both sides
OD. If the variable only appears on one side of an equation, then the equation can always be solved for the variable. By contrast, an equation with variables on both sides always has no solution or
infinitely many solutions.

Answer 1

If the variable only appears on one side of an equation, it can still be solved for the variable. Equations with variables on both sides can have no solution or infinitely many solutions.

Step-by-step explanation:

If the variable only appears on one side of an equation, then the equation can always be solved for the variable. However, an equation with variables on both sides can have no solution or infinitely many solutions. The presence or absence of solutions in an equation does not depend on whether the variable appears on only one side or on both sides.

Learn more about solutions to equations