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Mathematics 11 Online
OpenStudy (anonymous):

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

OpenStudy (anonymous):

@Jack1

OpenStudy (anonymous):

Thanks but I figured it out, is it "the same line"?

OpenStudy (jack1):

same line/overlapping lines, yep

OpenStudy (anonymous):

Thanks

OpenStudy (anonymous):

Can you help with one last question?

OpenStudy (jack1):

all good hey, u already had it

OpenStudy (jack1):

sure, sshoot

OpenStudy (anonymous):

Choose the correct graph of the given system of equations. y + 2x = -1 3y - x = 4

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

OpenStudy (anonymous):

The last multiple choice answer is: "None of the Above"

OpenStudy (jack1):

when does eqn 1 = eqn 2?

OpenStudy (anonymous):

What's eqn?

OpenStudy (jack1):

equation

OpenStudy (anonymous):

Oh.

OpenStudy (anonymous):

Well they equal each other when they're the same.

OpenStudy (jack1):

yep, but at what point (x, y)?

OpenStudy (jack1):

|dw:1380202844877:dw|

OpenStudy (anonymous):

I'm not sure

OpenStudy (jack1):

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

OpenStudy (anonymous):

|dw:1380203110954:dw|

OpenStudy (jack1):

3y - x = 4 3(-2x -1) - x = 4 -6x -3 - x = 4 -7x = 7 x = -1

OpenStudy (anonymous):

Is that the first equation or the 2nd?

OpenStudy (anonymous):

y = -2x -1 The Y-intercept is 1 And the slope is -2

OpenStudy (jack1):

|dw:1380203155247:dw|

OpenStudy (anonymous):

Oh, so the answer is Graph A?

OpenStudy (jack1):

slope is only of that line (eqn 2) but yep, intercept point is (-1, 1)

OpenStudy (anonymous):

So the answer is A?

OpenStudy (jack1):

|dw:1380203336815:dw| something like this, so yeah, A

OpenStudy (anonymous):

Thanks a lot.

OpenStudy (jack1):

all good ;)

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