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anonymous
 5 years ago
3x+y=1/3
2x3y=8/3
solve for x & y
anonymous
 5 years ago
3x+y=1/3 2x3y=8/3 solve for x & y

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anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Do you know how to use the substitution method?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0OK use the first equation and get y by itself... This will be the definition for y that we will substitute into the second equation. I'll show you.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[y=3x +\frac{1}{3}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Substituting... \[2x + (3)\big(3x+\frac{1}{3}\big)=\frac{8}{3}\] Do you see where I substituted the right half of equation #1 for the "y" term in equation 2????

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0OK can you take it from here? Solve Eqn #2 for x. Then take that number and put in for the "x" in equation #1 to get the number value for "y". Post your answer and I'll check.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0y=2/3, x=1/3 but not sure if there was an easier way to get 1/3

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0OK (that's the answer I got).

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.02x+9x+(1)=8/3 11x+(1)=8/3 11x=1 8/3 11x=3 2/3 which then is 3 2/3 divided by 11.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right... There is no reason to use a mixed fraction on the third line. It looks like you went back to an improper fraction when you cleared the 11 from the left anyway. I always recommended that my students left fractions as improper fractions  much easier to divide by multiplying the inverse of that fraction on both sides.

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0so should I have made 1 to be 3/3 ?

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0Right  I try to keep things as fractions. You'll get pretty good at it and won't need to write the intermediate step. Eg \[11x + (1)=8/3 \Rightarrow11x=8/3+1\Rightarrow11x=\frac{(8+3)}{3}\] etc.... You'll get good enough to skip steps mentally (careful!)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0\[\frac{1}{11}*\frac{11x}{1}=\frac{11}{3}*\frac{1}{11}\]

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you very much! :)

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0No problem. Good luck!
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