A dependent system of equations is a system with __________. the same line parallel lines intersecting lines and lines that have the same equation intersecting lines and lines that have the same slope
@Jack1
http://www.algebra.com/algebra/homework/coordinate/Types-of-systems-inconsistent-dependent-independent.lesson second section dude (green font)
Thanks but I figured it out, is it "the same line"?
same line/overlapping lines, yep
Thanks
Can you help with one last question?
all good hey, u already had it
sure, sshoot
Choose the correct graph of the given system of equations. y + 2x = -1 3y - x = 4
The last multiple choice answer is: "None of the Above"
when does eqn 1 = eqn 2?
What's eqn?
equation
Oh.
Well they equal each other when they're the same.
yep, but at what point (x, y)?
|dw:1380202844877:dw|
I'm not sure
EQN 1: y + 2x = -1 EQN 2: 3y - x = 4 simultaneous equations sub y = -2x -1 into EQN 2 will give you the x value where they meet use that value in either eqn to find the y value where they meet use that (x, y) point to identify which graph is correct
|dw:1380203110954:dw|
3y - x = 4 3(-2x -1) - x = 4 -6x -3 - x = 4 -7x = 7 x = -1
Is that the first equation or the 2nd?
y = -2x -1 The Y-intercept is 1 And the slope is -2
|dw:1380203155247:dw|
Oh, so the answer is Graph A?
slope is only of that line (eqn 2) but yep, intercept point is (-1, 1)
So the answer is A?
|dw:1380203336815:dw| something like this, so yeah, A
Thanks a lot.
all good ;)
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