SOLUTION: y=3x and x + y=2 answer: 1/2, 3/2 wanted to know how my book got these fractions as answer need full break down

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Question 186409: y=3x and x + y=2

answer: 1/2, 3/2
wanted to know how my book got these fractions as answer need full break down

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
(1) and
(2)
There are 2 equations and 2 unknowns. Whenever the
number of unknowns matches the number of equations,
then a solution is possible.
First, subtract from both sides of (1)
(1)
(1)
Now simply add (1) and (2)
(1)
(2)
(3)
(3)
To find , substitute in (1)
(1)
(1)
(1)
The solution is and

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