- #1
kwixson
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Homework Statement
Solve this system of equations for x and y.
v=x+y
v^2=x^2+y^2
Homework Equations
The quadratic formula:
x = (-b +/- sqrt(b^2-4*a*c))/(2*a)
The Attempt at a Solution
A TA gave the following advice:
"Make y the subject of the first equation.
Find y2 in terms of v and x using this equation.
Substitute y2 in the second equation.
You now have a quadratic equation in x and there will be two solutions"
Find y2 in terms of v and x using this equation.
Substitute y2 in the second equation.
You now have a quadratic equation in x and there will be two solutions"
I know the answers are x=0 and y=v but I "can't get there from here." My most recent attempt I got as far as 2x^2-2vx=0.
In this case, this homework is already solved so if someone could walk me through it I would be grateful.