Pregunta
Martin is solving the following linear equation.
His final two steps are:
Select the statement that correctly interprets Martin’s solution.
The solution is
.
There are infinitely many solutions since
is a false statement.
There is no solution since
is a false statement.
The solution is
.
The solution is
There are infinitely many solutions since
There is no solution since
The solution is
Ask by King Erickson. in the United States
Mar 16,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
Responder
There is no solution since
is a false statement.
Solución
To interpret Martin’s solution correctly, let’s analyze the steps he took in solving the equation:
-
Starting Equation:
-
Simplifying the Equation:
- On the left side, combine like terms:
- On the right side, distribute the 3:
- So, the equation becomes:
- On the left side, combine like terms:
-
Final Steps:
- Martin then rewrites it as:
- Subtracting
from both sides gives:
- Martin then rewrites it as:
-
Interpreting the Result:
- The statement
is clearly false. This indicates that there is no value of that can satisfy the original equation, meaning the equation has no solution.
- The statement
Now, let’s evaluate the provided statements:
- The solution is
. (Incorrect) - There are infinitely many solutions since
is a false statement. (Incorrect) - There is no solution since
is a false statement. (Correct) - The solution is
. (Incorrect)
Thus, the correct interpretation of Martin’s solution is:
There is no solution since
is a false statement.
Respondido por UpStudy AI y revisado por un tutor profesional
Como
error msg


Extra Insights
The statement that correctly interprets Martin’s solution is: There is no solution since
is a false statement. When simplifying the equation, Martin ended up with a contradiction, indicating that there are no values of
that would satisfy the original equation.
Now, to explore this further: linear equations can sometimes lead to unexpected results! When you reduce your equations and end up with something like
, it means that the lines represented by the equations are parallel. Therefore, they never intersect, meaning no solutions exist. This can be a surprising and crucial learning point in algebra!
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