Answer true or false.
-If the two equations in a system of linear equations are added and the result is 7x = 0, the system has no
solution.

Question

Quizplus · Accepted Answer

If the result of adding the two equations is 7x = 0, then it means that the two equations are parallel (i.e. they have the same slope but different y-intercepts). Since parallel lines never intersect, the system has no solution. If the result of adding the equations is 7x = 0, it means that both equations have the same slope and y-intercept. This can happen if the two equations are equivalent, meaning they represent the same line, and therefore have infinitely many solutions. If the two equations are parallel, they will never intersect and there will be no solution. However, in this case, we cannot determine whether the equations are parallel or equivalent, so we cannot conclude that there is no solution.

Answer True or False