SOLUTION: x^2-7xy+6y=0 x^2+xy=42 Solve the system

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Question 1131311: x^2-7xy+6y=0
x^2+xy=42
Solve the system
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
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x^2-7xy+6y=0
x^2+xy=42
Solve the system
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Elimination of xy gives y=7%2F%28x-1%29.

Elimination of x^2 gives 4x%5E2%2B3y=147.

Substitution for y and then gives 4x%5E2%2B21%2F%28x-1%29=147.

(If no mistakes were made,...) which should simplify to
4x%5E3-4x%5E2-147x%2B168=0
Go from there.
(Not a finished solution)