how to get the solution for 3x+ 3y= 10 -0x+ 9y= -30
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OpenStudy (anonymous):
I don't get your equation. Is it like this:
\[3x+3y=-30 and 10+9y=-30\]
OpenStudy (anonymous):
yes, sorry:)
OpenStudy (anonymous):
no wait, it's 9! sorry
OpenStudy (anonymous):
Ok, so you should multiply the equation with the threes to get a -9y so you can eliminate the y and solve for x
OpenStudy (anonymous):
by adding the equations. so
-3( 3x+3y)=-3(-30)
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OpenStudy (anonymous):
that doesn't make any sense, it would be a positive 9 and a negative nine both times, they'd equal zero
OpenStudy (anonymous):
I'm still not sure about the equations. Could you write them out again?
OpenStudy (anonymous):
sure. 3x+ 3y= 10
-9 -9y= -30
OpenStudy (anonymous):
perfect.
Multiply the top equation thru by three to get\[9x+9y=30\]then add equations \[9x+9y=30\]\[-9-9y=-30\]to get \[9x-9=0\]\[9x=9\]\[x=1\]Substitute 1 for x in 9x+9y=30, and then solve for y. Y should equal 7/3, but check that in \[-9-9y=-30\]
OpenStudy (anonymous):
wow. thank you so much!
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