CadyMath

#1. \( \begin{cases} -8x+8y=7\\3x-4y=8\\\end{cases} \)

\((-\frac{23}{2}, -\frac{85}{8})\)

\((\frac{39}{22}, -\frac{5}{11})\)

\((\frac{9}{32}, -\frac{11}{32})\)

singular

#2. \( \begin{cases} 6x+y=4\\x+8y=-8\\\end{cases} \)

\((-\frac{37}{7}, -\frac{3}{7})\)

\((\frac{19}{17}, -\frac{13}{17})\)

\((\frac{40}{47}, -\frac{52}{47})\)

singular

#3. \( \begin{cases} -3x+9y=7\\-2x+y=10\\\end{cases} \)

\((-\frac{83}{15}, -\frac{16}{15})\)

\((\frac{1}{3}, \frac{4}{15})\)

\((\frac{3}{14}, -\frac{3}{2})\)

singular

#4. \( \begin{cases} -8x+6y=-2\\-10x-7y=-3\\\end{cases} \)

\((-\frac{32}{15}, \frac{14}{3})\)

\((\frac{12}{73}, -\frac{99}{73})\)

\((\frac{8}{29}, \frac{1}{29})\)

singular

#5. \( \begin{cases} 6x+8y=-5\\-8x-5y=-4\\\end{cases} \)

\((\frac{17}{41}, \frac{27}{41})\)

\((\frac{1}{11}, \frac{47}{55})\)

\((\frac{57}{34}, -\frac{32}{17})\)

singular

#6. \( \begin{cases} 9x-4y=1\\x+9y=-9\\\end{cases} \)

\((-\frac{1}{6}, -\frac{2}{3})\)

\((-\frac{27}{85}, -\frac{82}{85})\)

\((\frac{21}{55}, -\frac{53}{55})\)

\((\frac{2}{11}, \frac{14}{11})\)

#7. \( \begin{cases} 7x-4y=4\\10x-2y=-1\\\end{cases} \)

\((-\frac{6}{13}, -\frac{47}{26})\)

\((1, -2)\)

\((\frac{35}{17}, \frac{13}{34})\)

singular

#8. \( \begin{cases} x-10y=7\\5x+3y=-8\\\end{cases} \)

\((-\frac{59}{53}, -\frac{43}{53})\)

\((\frac{20}{19}, -\frac{23}{19})\)

\((\frac{20}{7}, -\frac{37}{14})\)

singular

#9. \( \begin{cases} 4x+7y=-1\\-8x-4y=10\\\end{cases} \)

\((-\frac{33}{20}, \frac{4}{5})\)

\((-\frac{5}{34}, \frac{16}{17})\)

\((1, -\frac{5}{2})\)

\((\frac{26}{59}, \frac{4}{59})\)

#10. \( \begin{cases} 9x-4y=-6\\3x+y=2\\\end{cases} \)

\((\frac{21}{4}, -\frac{19}{4})\)

\((\frac{2}{21}, \frac{12}{7})\)

\((\frac{3}{11}, \frac{9}{11})\)

singular

#11. \( \begin{cases} 3x+y=5\\8x-7y=6\\\end{cases} \)

\((-11, 5)\)

\((-5, 6)\)

\((-\frac{114}{91}, \frac{1}{13})\)

\((\frac{41}{29}, \frac{22}{29})\)

#12. \( \begin{cases} -x-2y=-7\\-9x+3y=9\\\end{cases} \)

\((-\frac{4}{17}, -0.465)\)

\((-\frac{5}{18}, -\frac{29}{18})\)

\((51, 73)\)

\((\frac{1}{7}, \frac{24}{7})\)

#13. \( \begin{cases} 9x+6y-z=-3\\-2x-2y-2z=-8\\-8x+y-9z=4\\\end{cases} \)

\((-0.523, -0.834, -0.099)\)

\((-\frac{90}{31}, \frac{133}{31}, \frac{81}{31})\)

\((1.641, -4.184, -4.19)\)

singular

#14. \( \begin{cases} 9x+7y-3z=-7\\x+7y+7z=-9\\-7x+y+4z=3\\\end{cases} \)

\((-1.03, -0.114, -1.024)\)

\((-\frac{69}{53}, \frac{99}{53}, \frac{2}{53})\)

\((0.068, 1.307, 2.254)\)

singular