CadyMath

#1. \( \begin{cases} -3x+5y=-10\\4x+y=-2\\\end{cases} \)

\((-0.879, -1.215)\)

\((-8, -14)\)

\((0, -2)\)

singular

#2. \( \begin{cases} -5x-10y=4\\3x-9y=-8\\\end{cases} \)

\((-\frac{116}{75}, \frac{28}{75})\)

\((\frac{13}{5}, \frac{33}{50})\)

\((\frac{9}{29}, \frac{16}{29})\)

singular

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

\((-\frac{9}{11}, -\frac{57}{22})\)

\((1, -2)\)

\((\frac{8}{5}, -\frac{4}{5})\)

\((\frac{9}{4}, \frac{19}{12})\)

#4. \( \begin{cases} 9x-10y=1\\-x+3y=5\\\end{cases} \)

\((-\frac{36}{37}, -\frac{82}{37})\)

\((\frac{35}{33}, -\frac{17}{66})\)

\((\frac{53}{17}, \frac{46}{17})\)

\((\frac{71}{33}, -\frac{46}{33})\)

#5. \( \begin{cases} -9x-6y=4\\8x+y=1\\\end{cases} \)

\((-\frac{9}{4}, -3)\)

\((\frac{10}{39}, -\frac{41}{39})\)

\((\frac{3}{5}, \frac{16}{15})\)

singular

#6. \( \begin{cases} 8x+5y=6\\-6x-3y=10\\\end{cases} \)

\((-35, 23)\)

\((-\frac{34}{3}, \frac{58}{3})\)

\((\frac{11}{13}, -\frac{1}{13})\)

\((\frac{73}{61}, 0.221)\)

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

\((-\frac{4}{7}, \frac{5}{7})\)

\((-\frac{5}{39}, \frac{1}{26})\)

\((\frac{105}{31}, \frac{64}{31})\)

singular

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

\((-\frac{43}{20}, \frac{27}{20})\)

\((-\frac{80}{11}, \frac{61}{11})\)

\((4, \frac{5}{3})\)

singular

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

\((-\frac{37}{14}, -\frac{6}{7})\)

\((-\frac{77}{31}, \frac{2}{31})\)

\((\frac{31}{8}, -\frac{41}{8})\)

singular

#10. \( \begin{cases} -3x+8y=-6\\-5x-2y=3\\\end{cases} \)

\((-\frac{6}{23}, -\frac{39}{46})\)

\((\frac{3}{28}, \frac{1}{70})\)

\((\frac{3}{8}, 0)\)

singular

#11. \( \begin{cases} 7x+5y=1\\7x+3y=-8\\\end{cases} \)

\((-\frac{43}{14}, \frac{9}{2})\)

\((-\frac{64}{27}, -\frac{25}{27})\)

\((\frac{25}{2}, -16)\)

singular

#12. \( \begin{cases} 8x+6y=1\\-3x-7y=-5\\\end{cases} \)

\((-\frac{23}{38}, \frac{37}{38})\)

\((\frac{32}{17}, \frac{6}{17})\)

\((\frac{56}{11}, \frac{8}{11})\)

singular

#13. \( \begin{cases} -5x+3y+z=5\\4x-y-10z=1\\x+2y-3z=-3\\\end{cases} \)

\((-2.13, -\frac{81}{50}, -\frac{79}{100})\)

\((-\frac{27}{8}, \frac{35}{8}, -\frac{17}{4})\)

\((0.993, 0.202, -0.766)\)

singular

#14. \( \begin{cases} 7x-2y-3z=-3\\7x+7y+10z=8\\-4x+9y-7z=3\\\end{cases} \)

\((-0.073, 0.623, 0.415)\)

\((-0.347, -0.898, -\frac{5}{34})\)

\((-1.144, 1.251, 1.656)\)

\((0.928, -\frac{22}{23}, -1.812)\)