All Algebra 1 Resources
Example Questions
Example Question #3 : How To Find Out When An Equation Has No Solution
Solve:
First factorize the numerator.
Rewrite the equation.
The terms can be eliminated.
Subtract one on both sides.
However, let's substitute this answer back to the original equation to check whether if we will get as an answer.
Simplify the left side.
The left side does not satisfy the equation because the fraction cannot be divided by zero.
Therefore, is not valid.
The answer is:
Example Question #2 : How To Find Out When An Equation Has No Solution
Solve for :
No solution
No solution
Combine like terms on each side of the equation:
Next, subtract from both sides.
Then subtract from both sides.
This is nonsensical; therefore, there is no solution to the equation.
Example Question #5 : How To Find Out When An Equation Has No Solution
Solve the equation:
No solution
No solution
Notice that the end value is a negative. Any negative or positive value that is inside an absolute value sign must result to a positive value.
If we split the equation to its positive and negative solutions, we have:
Solve the first equation.
The answer to is:
Solve the second equation.
The answer to is:
If we substitute these two solutions back to the original equation, the results are positive answers and can never be equal to negative one.
The answer is no solution.