anonymous
  • anonymous
Given the system of equations: y  =  3 x  +  9  4 x − 9 y  =  − 8 Find the  y-coordinate of the point of intersection of the two lines.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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TheSmartOne
  • TheSmartOne
do you know the method of substitution?
anonymous
  • anonymous
method of substitution is when you plug one equation into another?
EmmaTassone
  • EmmaTassone
If you want to see the intersection point you have to look for the point that comply both equation. e.g. if I have this system: a) x+y=1 b) x-y=0 and i want to find now y-coordinate that comply the equations, so from b) we have x=y so we replace this information in a) then : x+x=1 ==> 2x=1 ====> x=1/2 since x=y ===> Y=1/2 in my example

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TheSmartOne
  • TheSmartOne
yes, you can plug in the first equation in to the second one
TheSmartOne
  • TheSmartOne
and then solve for x
TheSmartOne
  • TheSmartOne
then plug in the value you got for x into any of those equations and solve for y
EmmaTassone
  • EmmaTassone
you can work analogous in your problem
anonymous
  • anonymous
which one is easier? I am not sure where emma got the 2x from here example. came from. If I plug one equation into another do I plug it into the front or back?
EmmaTassone
  • EmmaTassone
i used the substitution method xD i just plug the y=x in the other equation
EmmaTassone
  • EmmaTassone
you have to clear a variable first and then plug that variable in the other equation
EmmaTassone
  • EmmaTassone
I can do the example again exaplining it better if you want
anonymous
  • anonymous
I am not sure where I put the y= 3x + 9 ... into 4x-9y=-8
EmmaTassone
  • EmmaTassone
*explaining
EmmaTassone
  • EmmaTassone
Here its another example with this system: \[4x+6y=0\] \[5x=3y+2\] So, what you have to do is clear one variable from any equation, im going to clear variable x from first equation:\[4x+6y=0 \rightarrow 4x=-6y \rightarrow x=\frac{ -6 }{ 4 }.y\] Once we cleared x, we plug it in the second equation:\[5x=3y+2\] replacing it: \[5(\frac{ -6 }{ 4 }.y)=3y+2\] \[\frac{ -30 }{ 4 }.y=3y+2\] \[-\frac{ 30 }{ 4 }y-3y=2\] \[-\frac{ 21 }{ 2 }y=2\] Finally:\[y=-\frac{ 4 }{ 21 }\]
EmmaTassone
  • EmmaTassone
Hope it help
anonymous
  • anonymous
thank you

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