SOLUTION: {x^2-3y^2=-1 {2x^2-7y^2=-5

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: {x^2-3y^2=-1 {2x^2-7y^2=-5      Log On


   

Question 382786: {x^2-3y^2=-1
{2x^2-7y^2=-5
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.x%5E2-3y%5E2=-1
2.2x%5E2-7y%5E2=-5
Multipy eq. 1 by -2 and add to eq. 2,
-2x%5E2%2B6y%5E2%2B2x%5E2-7y%5E2=2-5
-y%5E2=-3
y=0+%2B-+sqrt%283%29
Then use either equation to solve for x.
x%5E2-3%283%29=-1
x%5E2=8
x=0+%2B-+2%2Asqrt%282%29
.
.
.