The given system of equations is graphed on the coordinate plane.
line e: 2x−4y=0
line f: 2x−4y=12
Which statements about the system are true? (Choose two.)
Responses
The solutions to the system are (0, 0) and (0, –3).
The solutions to the system are (0, 0) and (0, –3).
It is impossible for 2x−4y
to equal both 0
and 12
simultaneously; therefore, the system has no solution.
It is impossible for 2 x minus 4 y to equal both 0 and 12 simultaneously; therefore, the system has no solution.
The system is inconsistent because the lines are parallel.
The system is inconsistent because the lines are parallel.
The system is consistent because the lines are parallel.
The system is consistent because the lines are parallel.
The system has no solution because the lines are perpendicular.
The statements that are true about the system are:
1. It is impossible for 2x−4y
to equal both 0
and 12
simultaneously; therefore, the system has no solution.
2. The system is consistent because the lines are parallel.