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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
 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
 one year ago

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

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

Rachel98Best ResponseYou've already chosen the best response.1
Oh, so to substitute we get  2(y  12) = 3?
 one year ago

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

Rachel98Best ResponseYou've already chosen the best response.1
So, 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?
 one year ago

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

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

Rachel98Best ResponseYou've already chosen the best response.1
Since the variables are on the same side do you add them together and get  3y?
 one year ago

Rachel98Best ResponseYou've already chosen the best response.1
Okay 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
 one year ago

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

Rachel98Best ResponseYou've already chosen the best response.1
So, 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?
 one year ago

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

Rachel98Best ResponseYou've already chosen the best response.1
Thanks for the help. So the solution is ( 5, 7)?
 one year ago

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