SOLUTION: anyone but john please help with question. Solve the following ssystem of equation xy=1 2x-y=1

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Question 331485: anyone but john please help with question. Solve the following ssystem of equation xy=1
2x-y=1

Found 2 solutions by JBarnum, Edwin McCravy:
Answer by JBarnum(2146)   (Show Source): You can put this solution on YOUR website!
lol anyone but john...lol he must of gave u a bad answer..lol


substitute this in other equation




View quadratic equation below
x=1,-0.5
to find y simply plug in the x's
y=1,0

Solved by pluggable solver: SOLVE quadratic equation with variable
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=9 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 1, -0.5. Here's your graph:


Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!

You don't need to use the quadratic formula,
as the other tutor used, because it leads to 
a factorable quadratic:



Solve the second equation for y:

 

Substitute  in the first equation in the system



So there are two solutions for x.  We
must find a value of y for each of them,
by substituting each in 

Substituting ,





So one solution is (x,y) = (,-2) 

Substituting ,





So the other solution is (x,y) = (1,1)

---------------------------

Checking (x,y) = (,-2)







 

Checking (x,y) = (1,1)









Edwin

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