anonymous
  • anonymous
solving systems using substitution x=y x+2y=3
Mathematics
chestercat
  • chestercat
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sandra
  • sandra
hey julian
anonymous
  • anonymous
hey sandra
sandra
  • sandra
so to solve by substitution, you replace one of the variables in a second equation with the value for that same variable in the first equation. This replacement is called substitution.

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sandra
  • sandra
so in your example, we want to replace the x in the second equation, with the value of "x" in the first - i.e. subsitute for x in the second equation
anonymous
  • anonymous
ok
sandra
  • sandra
so instead of x + 2y =3, we use "x=1" in the first equation to replace the "x" with "y" 1. x + 2y = 3, and given x=y 2. (y) + 2y = 3 3. 3y = 3 4. y = 1
sandra
  • sandra
in general, all substitution problems come down to "isolating" a variable in one of the given equations (getting it by itself - in this problem it's already started that way with x=y), and then using that value in place of the same variable in another equation. replacement = subsitution
anonymous
  • anonymous
oh ok im staring to get it now
anonymous
  • anonymous
Thank you!!!!! you really helped
sandra
  • sandra
ok np, post more problems if you want to work through another one!
anonymous
  • anonymous
ok

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