When a linear equation has no solution or infinitely many
Interpret what remains when all the variable terms cancel.
- If you obtain a false statement, there is no solution.
- If you obtain a statement that is always true, every real value is a solution.
- If a variable term remains, solve as usual.
Example 1
No solution
Determine how many solutions the equation has.
Example 2
Every real value
Decide whether the equation has one solution, no solution or infinitely many.
Your turn
State whether there is one solution, no solution or infinitely many.
Check answer
State whether there is one solution, no solution or infinitely many.
Check answer
State whether there is one solution, no solution or infinitely many.
Check answer
State whether there is one solution, no solution or infinitely many.
Check answer
State whether there is one solution, no solution or infinitely many.
Check answer
State whether there is one solution, no solution or infinitely many.
State whether there is one solution, no solution or infinitely many.
State whether there is one solution, no solution or infinitely many.
State whether there is one solution, no solution or infinitely many.
State whether there is one solution, no solution or infinitely many.