4 years ago

Describe the system 6x-2y=10 and 9x-3y=8 as consistent and independent, consistent and dependent, or inconsistent.

1 answer:

8 0

Consistient means they have countable number of solutions (example, a point, not a line since lines are infinite)

inconsitient means they have no solutions (no points of intersection)

dependent means that they have infinite solutions (most likely becasue they are the same equaiton)

6x-2y=10
9x-3y=9
divide first equation by 2

3x-y=5

multipliy by -3
-9x+3y=15
add to second equation

-9x+3y=15
 9x-3y=8 +
0x+0y=23

0=23
fales

therfor it is inconsistient

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