Question

Please help.Without graphing, classify the following system as independent, dependent, or inconsistent.

-x-2y= -7

5x-y=2

a.independent
b.dependent
c.inconsistent

Answer 1

can you solve each for "y"?

Answer 2

no you cant because theres no graphing points right?

Answer 3

well, we don't know that, those equations each are just one line
if you solve for "y" you'd be able to see their slopes

if the slopes are the same, they're parallel, parallel lines never meet, thus have no solution and thus are inconsistent

if the slopes differ, then they'd meet, and have a solution and thus are independent

Answer 4

ok can you show me how to solve for y because I'm not sure how to do that

Answer 5

just isolate "y" but substracting both sides this or that