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OpenStudy (anonymous):
are you solving for both x?
OpenStudy (misty1212):
HI!!
OpenStudy (misty1212):
is this a trick question?
OpenStudy (legends):
no
OpenStudy (misty1212):
it is really \[5x+4=9\\
3x+2y=4\] or is it
\[5+4y=9\\
3x+2y=4\]?
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OpenStudy (anonymous):
5x + 4 = 9
3x + 2y = 4
Are you missing 'y' in the first equation? @Legends
Is there supposed to be a 'y' after '4'?
OpenStudy (legends):
Sorry guys yea its 5x+y=9
OpenStudy (legends):
@iGreen. Yea its
5x + 4 = 9
3x + 2y = 4
OpenStudy (anonymous):
Oh, okay..
5x + y = 9
3x + 2y = 4
This is it?
OpenStudy (legends):
yea
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OpenStudy (anonymous):
We can start by subtract 5x to both sides in the first equation:
y = -5x + 9
Now we can substitute '-5x + 9' for 'y' in the 2nd equation:
3x + 2y = 4
3x + 2(-5x + 9) = 4
Distribute 2 into the parenthesis:
3x + -10x + 18 = 4
Combine:
-7x + 18 = 4
Subtract 18 to both sides, what's 4 - 18?
OpenStudy (legends):
-14
OpenStudy (anonymous):
Yes, so we have:
-7x = -14
Divide -7 to both sides, what's -14 / -7?
OpenStudy (legends):
2
OpenStudy (legends):
So is the answer(2,-1)
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OpenStudy (legends):
@iGreen.
OpenStudy (anonymous):
Hold on.
OpenStudy (anonymous):
The x-value is 2..
OpenStudy (anonymous):
Yep, you got it.
OpenStudy (legends):
thanks
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OpenStudy (anonymous):
We plug 2 back into any of the two equations for 'x' and we get -1 for y..