224k views
4 votes
Without graphing, classify the following system as independent, dependent, or inconsistent.

y = -3x + 5
3x+y=5

User Helloflash
by
7.1k points

1 Answer

4 votes
Dependent. This system is consistent, because the first equation can be rearranged to y+3x=5, which is exactly the same as the second equation, so they don't contradict each other. However, their are infinite number of solutions to the equation y+3x=5, like x=1, y=2; or x=2, y=-1;... so the system is dependent.
User Daniel Shields
by
6.8k points