120k views
1 vote
Lena tried to solve a system of linear equations algebraically and in process found the equation 5=9. Lena thought something was wrong,so she graphed the equations and found that they were parallel lines. Explain whats Lenas graph and equation could mean.

User Hadee
by
4.6k points

1 Answer

2 votes

Answer:

This means that there is no solution

Explanation:

When solving for a system of linear equations, we are solving for the intersection point. If we cannot algebraically solve for a system, it automatically means you made a mistake or the lines are parallel. Since the two lines are parallel, there is no intersection point, so there is no solution

User GuidoMB
by
5.1k points