Question 1 of 5
A system of two linear equations has the same solution as the system below.
Which statement must be true?
Explanation
The second equation is just times the first equation:
So both equations represent the same line. When two equations in a system represent the same line, every point on that line satisfies both equations. That means the system has infinitely many solutions.
Concept summary
In a system of linear equations, if one equation is a constant multiple of the other, the equations represent the same line and the system has infinitely many solutions.