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 one year ago
I need help getting started on this one. Don't give me the answer, though.
So I am trying to find the solution to this linear system through substitution. {  2x  y = 3 and y  12 = x.
 one year ago
I need help getting started on this one. Don't give me the answer, though. So I am trying to find the solution to this linear system through substitution. {  2x  y = 3 and y  12 = x.

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UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1isolate y in the second equation , then substitute this into the first equation

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1actually it would be simpler to just substitute x from the second equation into the first ( as it is already isolated)

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.1Oh, so to substitute we get  2(y  12) = 3?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1yeah that's the quickest way ,

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.1So, to solve I would distribute the 2. So I get  2y + 24 = 3, then I subtract 24 from both sides and get  2y =  21, I divide both sides by  2 and get y = 10.5? Is that right?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1your working looks right , but there must be a mistake somewhere

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1ahh you forgot one term  2x  y = 3 , y  12 = x. 2(y12)y=3  2y + 24 y =3

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.1Since the variables are on the same side do you add them together and get  3y?

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.1Okay so we get  3y + 24 = 3 and then we subtract 24 from both sides and get  3y =  21, then we divide both sides by negative 3 and get y = 7

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1very good. now just use this to find x and your done

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.1So, we get  2x  7 = 3. So then we add 7 to both sides and get  2x = 10, then we divide both sides by  2 and get x =  5?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1\[\LARGE\color{red}{\checkmark\checkmark}\]

Rachel98
 one year ago
Best ResponseYou've already chosen the best response.1Thanks for the help. So the solution is ( 5, 7)?

UnkleRhaukus
 one year ago
Best ResponseYou've already chosen the best response.1i might have been quicker to substitute y=7 into the second equation but the result is the same (5,7) Yes!
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