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NikkiBxox
 one year ago
How do you solve a system of equations? I don't have a specific equation that needs to be solved I just need help figuring it out. I cant seem to get it. Medal... Fan...Everything... Thanks.
NikkiBxox
 one year ago
How do you solve a system of equations? I don't have a specific equation that needs to be solved I just need help figuring it out. I cant seem to get it. Medal... Fan...Everything... Thanks.

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NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0Like 2x – 3y = –2 4x + y = 24

freckles
 one year ago
Best ResponseYou've already chosen the best response.1well there are a couple of ways to go about it: elimination, substitution, ..

freckles
 one year ago
Best ResponseYou've already chosen the best response.1Like you can solve the second equation for y. Use that y in the first equation then solve for x.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1So first can you isolate y in the following equation: 4x+y=24

freckles
 one year ago
Best ResponseYou've already chosen the best response.1Remember whatever you do to one side you must do to the other... You subtracted 4x on the left hand side but added 4x on the right hand side.. It should have been you subtracted 4x on both sides.

freckles
 one year ago
Best ResponseYou've already chosen the best response.14x+y=24 subtract 4x on both sides 4x+y4x=244x the whole point of this is to get y on the left hand side by itself 4x4x=0 so you have y=244x also can be written as y=4x+24

freckles
 one year ago
Best ResponseYou've already chosen the best response.12x – 3y = –2 now we are going to take that y we just found in terms of x and insert in the first equation 2x3(4x+24)=2 Solve this for x.

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0One question would i distribute the 3 to the parenthesis? Or just to PEMDAS

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you have to distribute the distributive property says a(b+c)=ab+ac then you can apply order of operations with common terms on the left hand side

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0Got it. 2x1272=2 10x72=2 10=70 x=7

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0Wait. It would be +12

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so you mean to say 2x+12x72=2 ?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1ok and this equation 2x+12x72=2 is right so far

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0If I refigure that it would be 2x+12x72=2 +72 +72 2x+12x=70 14x=70 x=5

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now remember that one equation that we solved for y in terms of x...?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you can finally find y now by inputting the x you just found into this equation (you could also used the other equation; it just seems easier to plug into this one because we already have y isolated)

freckles
 one year ago
Best ResponseYou've already chosen the best response.1and yes so you have y=4(5)+24

freckles
 one year ago
Best ResponseYou've already chosen the best response.1This method we used was called substitution. Let me show you elimination on this problem.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444618292337:dw This was the system .

freckles
 one year ago
Best ResponseYou've already chosen the best response.1To do elimination, we need to choose something to multiply one of the equations (or even both) by so we can get either the x terms to be opposites or the y terms to be opposites What opposite means is like, the opposite of 4x is 4x or the opposite of 3y is 3y. Notice the sign is the only thing that is different when we use the word opposite.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now we could go about this in two very simple ways

freckles
 one year ago
Best ResponseYou've already chosen the best response.1we could multiply the first equation by 2 or we could multiply the second equation by 3 but do not do both

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444618467505:dw notice if we choose to multiply both sides of the second equation by 3 we have the above

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0That makes a lot of sense!!

freckles
 one year ago
Best ResponseYou've already chosen the best response.1notice we have 3y is the opposite of 3y when you add opposites you get 0 that is why we wanted opposites

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so we are going to add the equations together 2x3y=2 12x+3y=72  14x+0y=70 14x+0=70 14x=70 do you see we eliminated the y?

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you solved this exact same equation above and got x=5

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0Yes. They are opisites.....OH okay!!

freckles
 one year ago
Best ResponseYou've already chosen the best response.1now using either equation you can find y

freckles
 one year ago
Best ResponseYou've already chosen the best response.1dw:1444618634766:dw I like this equation because there is only 1 being multiplied to the y

freckles
 one year ago
Best ResponseYou've already chosen the best response.1so input 5 for x: 4(5)+y=24 20+y=24 y=4

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you could have used the first equation though and got y is 4 2x3y=2 2(5)3y=2 103y=2 3y=12 y=4

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0Yes!! Thank you so much!!

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you can also graph the equations and find the intersection i don't really like this method because the solutions aren't always integer pairs like this solution we got for this one

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0Okay. I kinda get how to do that one. These seem easier by far.

freckles
 one year ago
Best ResponseYou've already chosen the best response.1you can solve this one if you want to test yourself: a+2b=5 5ab=6

NikkiBxox
 one year ago
Best ResponseYou've already chosen the best response.0I definintaly will in the morning. Its time for sleep. Thanks again!

freckles
 one year ago
Best ResponseYou've already chosen the best response.1np if you put your work here whenever you get a chance and tag me and also message me (just to make sure I see it do both), I will check your work
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