Systems
Partial Fractions
100

Solve by elimination

3x+4y=29

2x-6y=-24

(3,5)

100

(-5x+4)/(x^2-x)

-4/x-1/(x-1)

200

Solve by elimination

-x-5y-5z=2

4x-5y+4z=19

x+5y-z=-20

(-2,-3,3)

200

(17x-53)/(x^2-2x-15)

4/(x-5)+13/(x+3)

300

Solve by elimination

4x+4y+z=24

2x-4y+z=0

5x-4y-5z=12

(4,2,0)

300

(15x^2-11x-5)/[x(x+1)(2x-5)]

1/x+3/(x+1)+7/(2x-5)

400

-6x-2y+2z=-8

3x-2y-4z=8

6x-2y-6z=-18

No unique solution

400

(-6x^2+3x+5)/(x^3-x)

-5/x-2/(x+1)+1/(x-1)

500

x-2y+z=2

2x-y-z=1

(a, a-1, a) infinite solutions

500

(-2x^2+19x-13)/(x^3-7x^2+11x-5)

2/(x-5)-4/(x-1)-1/(x-1)^2