SOLUTION: x^2 + y^2 =25 and 2x -3y =-6 i need to find all real solutions of the nonlinear system of equations

Question 737787: x^2 + y^2 =25 and 2x -3y =-6 i need to find all real solutions of the nonlinear system of equations
Answer by Susan-math(40) (Show Source): You can put this solution on YOUR website!
2x-3y=-6 gives
so }}}x^2+y^2=25}}} becomes
so
and
Using the quadratic formula with a=13/4, b=-9 c=-16
Then (((y=(9 +-sqrt(81-4(13/4)(-16)))/2(13/4)=(9+-sqrt(289))/(13/2)=(9+-17)/(13/2)}}} which gives y=4 or y=-16/13
substitute those into the linear equation to find x.
y=4 gives
y=-16/13 gives
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