SOLUTION: How to solve this? 2/x - 3y =1 -4/x + 7/y =1

Question 378857: How to solve this?
2/x - 3y =1
-4/x + 7/y =1
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
2/x - 3y =1
-4/x + 7/y =1
--------
Multiply the 1st eqn by 2
4/x - 6y = 2
-4/x + 7/y =1
----------------- Add
-6y + 7/y = 3
Multiply by -y
6y^2 - 7 = -3y
6y^2 + 3y - 7 = 0
------------------

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=177 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 0.858677891304172, -1.35867789130417. Here's your graph:

----------------
y = (-3 � sqrt(177))/12 It says x, but it's y)
Sub for y into eqn 1 and find x.
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