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anonymous
 4 years ago
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
4x8y=48
11x+3y=105.5
anonymous
 4 years ago
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this. 4x8y=48 11x+3y=105.5

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campbell_st
 4 years ago
Best ResponseYou've already chosen the best response.1simplify 4x  8y = 48 to x  2y = 12 (1) and 11x + 3y = 105.5 (2) then use (1) x 11  (2) which will eliminate x and solve for y

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yikes another one with decimals!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[x  2y = 12 \] \[11x+3y=105.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0multiply the first equation by 11 and add to the second one

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[11x+22y=132\] \[11x+3y=105.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0is it suppose to be x2y or x3y?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0first equation simplifies by dividing by 4, giving you \[x2y=12\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now add the two equations together

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0the x terms add up to zero and you get \[25y=26.5\] if my arithmetic is correct

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0damn i screwed up again!

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you multiply the first one by 11

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i forgot the negative on the right hand side

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok so where does that come in

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[11x+22y=132\] \[11x+3y=105.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you have \[x2y=12\] \[11x+3y=105.5\] right?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and you want to eliminate one of the variables so you can solve on equation with one variable

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i am confused on what comes first can you lay it out the way it suppose to be

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0yes it looks like this

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[x2y=12\] \[11x+3y=105.5\] then \[(11)\times (x2y)=(11)\times 12\] \[11x+3y=105.5\] then \[11x+22y=132\] \[11x+3y=105.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you have to figure out for yourself that if you multiply the first equation across by 11 and then add, the x terms will drop out when you add the two equations. finding what to multiply by is up to you.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now add and get \[25y=235.5\] so now \[x=237.5\div 25=9.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0why don't we try an easy one first. suppose i see \[x+y=1\] \[xy=7\]how can i find x and y?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0if you add the two equations together you get \[2x=8\] because you get \[x+y+xy=1+7\] \[2x=8\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now i have one variable and one equation, so easy to solve, if \[2x=8\] then \[x=4\] and if i know \[x=4\] then i know \[y=3\] because the first equation says \[x+y=7\] so \[4+y=7\] and therefore \[y=3\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0unfortunately in your problem if i simply add, nothing drops out. so you have to arrange it so that one of the variables will go away when you add

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok when it comes to my problem i get really lost

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so for example if i see \[2x+3y=7\] \[xy=1\] have to get rid of one variable by multiplying one equation all the way across by a number that will make one of the variables go away when i add

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so i could multiply the second equation by 3 and get \[2x+3y=7\] \[3x3y=3\] and now it is easy add to get \[5x=10\] so \[x=2\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0in your problem you have \[x2y=12\] \[11x+3y=105.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0to make one of the variables go, multiply the top one by 11 so you will have \[11x\] in the first equation and \[11x\] in the second one, and they will add up to zero

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0we have to multiply EVERYTHING by 11 in the first equation and we get \[11x+22y=132\] \[11x+3y=105.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0now when you add there will be no more x's

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok is that the first part or the second part

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0i am not sure what you mean

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0step one was to turn \[4x8y=48\] into \[x2y=4\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0step two was to multiply by 11 to get \[11x+22y=132\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0step 3 is to add it to the second equation. the x's add to zero and you get \[25y=137.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0step 4 is to solve for y via \[y=237.5\div 25\] \[y=9.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0typo in step 3, should have been \[25y=237.5\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0and finally to find x, replace y by 9.5 in either equation

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok with x would you divide by 2 for the first step as well

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0\[x2y=12\] \[x2\times (9.5)=12\] \[x+19=12\] \[x=1219\] \[x=7\]

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0you can divide the first equation by 4, because each term has a common factor of 4 just makes it easier to work with

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0in general no, you do not divide as a first step. in general you see what you can multiply one equation by to make one variable drop out when you add the two equations

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0ok still a little lost but getting the hang of it
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