SOLUTION: Could someone please help me solve the following non-linear system: x^2/4-y^2/16=1 y=x

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: Could someone please help me solve the following non-linear system: x^2/4-y^2/16=1 y=x       Log On


   

Question 147487: Could someone please help me solve the following non-linear system:
x^2/4-y^2/16=1
y=x

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
x^2/4-y^2/16=1
y=x
Since y = x, substitute for y
x%5E2%2F4+-+x%5E2%2F16+=+1
4x%5E2%2F16+-+x%5E2%2F16+=+1
3x%5E2%2F16+=+1
3x%5E2+=+16
x%5E2+=+16%2F3
x+=+%2B4%2Fsqrt%283%29
x+=+-4%2Fsqrt%283%29
x+=+%2B4%2Asqrt%283%29%2F3
x+=+-4%2Asqrt%283%29%2F3