Posted by **Jon** on Tuesday, May 20, 2008 at 1:02pm.

1)Find the exact solutions of the system of equations x^2 + 2y^2 = 18 and x = 2y.

x=2y

x^2+2y^2=18

(2y)^2+2y^2=18

4y^2+2y^2=18

6y^2=18

y^2=3

y=+-3

x=2(+-3)

x=+-23

(+-2sqrt3,+-sqrt3)

2)Simplify, (d/(d^2-9)) + (5/(2d+6))

[d / (d^2 - 9)] + [5 / (2d + 6)]

= [d / (d - 3) (d +3)] + [5 / 2 (d + 3)]

= [2d + (5 {d - 3})] / [2 (d + 3) (d - 3)]

= [2d + 5d - 15] / [2 (d + 3) (d - 3)]

= (7d - 15) / [2 (d + 3) (d - 3)]

= (7d - 15) / (2d^2 - 18)

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