What kind of system is the set of equations below?

5x - 4y = -3

-5x + 4y = 3.

Question

What kind of system is the set of equations below?

5x - 4y = -3

-5x + 4y = 3.

amistre64 · Answer

what are we considering in relation to "kind"?

anonymous · Answer

yeah that's what I though he was asking on other problems too.  He wants the solution of the set.

anonymous · Answer

Is It infinite solutions??

anonymous · Answer

These are equations of lines.  Are these two different equations or just the same on written twice?

anonymous · Answer

one*

anonymous · Answer

Consistent -- a single solution Is This Correct?

anonymous · Answer

no

anonymous · Answer

Inconsistent -- no solution  Correct?

anonymous · Answer

no

anonymous · Answer

Dependent -- infinite number of solutions

anonymous · Answer

guess that narrows it down...they are the same line.  So any point that lines on the line is a solution.  There are infinity points on the line so infinite solutions

anonymous · Answer

lies*
brutal typos today

anonymous · Answer

oh i see now thank you

anonymous · Answer

np

anonymous · Answer

What kind of system is the set of equations below?

2x - 3y = 6

2x + 3y = 2

anonymous · Answer

this one would be no solution correct?

anonymous · Answer

no, it has a solution

anonymous · Answer

oh but only a sinlge solution right?

anonymous · Answer

correct

anonymous · Answer

basically it boils down to this:
1) the two equations describe the same line (it's the same equation written slightly differently)=infinite solutions
2)they are different lines, with different slopes (one solution)
3) they are different lines with the same slope.  Since they are different, but parallel, lines, they will never intersect so there is no solution.