SOLUTION: Solve the system by elimination or substitution. 3y^2=xy 2x^2+xy-84=0

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Question 919862: Solve the system by elimination or substitution.
3y^2=xy
2x^2+xy-84=0
Found 3 solutions by MathLover1, josgarithmetic, MathTherapy:
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
.........eq.1
.....eq.2
_______________________________

.........eq.1

......substitute in eq.2

.....eq.2






or
go to , plug in for


now plug in for


so, solutions are:
and
or
and



Answer by josgarithmetic(39620)   (Show Source): You can put this solution on YOUR website!
Substitute for xy in the second equation, and at least you can find a relationship between x and y. Then try to work with this and what you believe to be the simpler equation....

2x^2+3y^2=84, does not look useful.



INSTEAD, DO THIS WAY:
Solve for x in terms of y from....
...

-

, includes substitution for xy.



or .

Find each corresponding value for each y just found.

when
-

when
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve the system by elimination or substitution.
3y^2=xy
2x^2+xy-84=0


Solve the system by elimination or substitution.

____________ ------ eq (i)

 ------ eq (ii)

 -------- Substituting 3y for x in eq (ii)









_____________

 -------- Substituting 2 for y in eq (i)







 ------ Substituting - 2 for y in eq (i)



 

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