Question

A student is solving a system of two linear equations using the elimination method. She ends up with the equation 1=0. She did not make any mistakes. What does this mean?

a) The system has no solution.
b) The system has infinitely many solutions.
c) The student made a mistake in solving.
d) The system has a unique solution.

Answer 1

If the elimination process leads to the equation 1 = 0, it means that there is no solution to the system of equations.

Step-by-step explanation:

When solving a system of linear equations using the elimination method, the goal is to eliminate one variable so that you can solve for the other variable. If the elimination process leads to the equation 1 = 0, it means that there is no solution to the system of equations.

This is because the equation implies that 1 is equal to 0, which is not a true statement. Therefore, the correct answer is a) The system has no solution.