Choose the correct equation type for each system.
answers for all of them:
consistentequivalentinconsistent< br />

Consistent means 1 solution
inconsistent means no solutionsbecause they are parallel lines
equivalent means infinite solutions...because they are the same line

y = 3x - 2             3x - y = 4
                            -y = -3x + 4
                             y = 3x - 4

both equations have the same slope but different y interceptsthis means they are parallel lines and have no solutions INCONSISTENT

1/2y = -x + 5                  2y = -4x + 20   
y = -2x + 10                     y = -2x + 10

same equationsame line...infinite solutions...EQUIVALENT

y = -x + 4               x = -y - 6
                              y = -x - 6

same slope, different y interceptsparallel linesno solutions...this means INCONSISTENT

y = 4x + 2                y = 6x - 10
different slopes, different y intercepts...one solution...CONSISTENT

y = 2x + 1               y = -2x + 3
different slopes, different y intercepts...one solution...CONSISTENT

-2x + 5y = 0              y = 2/5x
5y = 2x
y = 2/5x
same lineinfinite solutionsEQUIVALENT

Here are the answers to the ones that i could see.