CadyMath

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

\((-\frac{15}{16}, -\frac{23}{32})\)

\((-\frac{38}{79}, -\frac{15}{79})\)

\((\frac{8}{11}, -\frac{47}{77})\)

singular

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

\((-\frac{10}{3}, -\frac{19}{3})\)

\((-\frac{3}{22}, \frac{9}{44})\)

\((-\frac{47}{8}, \frac{29}{8})\)

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

#3. \( \begin{cases} -9x-9y=-5\\-5x+2y=1\\\end{cases} \)

\((\frac{1}{63}, \frac{34}{63})\)

\((\frac{1}{8}, -\frac{11}{8})\)

\((\frac{29}{10}, 3)\)

singular

#4. \( \begin{cases} 9x-8y=-7\\-5x-7y=-1\\\end{cases} \)

\((-0.398, 0.427)\)

\((-\frac{48}{61}, -\frac{10}{61})\)

\((0, 1)\)

\((\frac{1}{12}, -\frac{1}{6})\)

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

\((-\frac{1}{21}, \frac{52}{21})\)

\((-\frac{23}{2}, -\frac{55}{2})\)

\((\frac{13}{3}, -\frac{22}{3})\)

singular

#6. \( \begin{cases} 4x+7y=-6\\8x-8y=-1\\\end{cases} \)

\((-\frac{5}{8}, -\frac{1}{2})\)

\((\frac{19}{2}, -\frac{39}{4})\)

\((\frac{2}{5}, 0)\)

\((\frac{7}{2}, \frac{29}{6})\)

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

\((-\frac{21}{19}, \frac{5}{19})\)

\((\frac{10}{7}, \frac{17}{7})\)

\((\frac{1}{8}, -\frac{1}{12})\)

singular

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

\((\frac{1}{2}, \frac{11}{18})\)

\((\frac{63}{68}, -\frac{9}{17})\)

\((\frac{7}{18}, \frac{5}{4})\)

singular

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

\((-1, 0)\)

\((-\frac{41}{23}, \frac{62}{23})\)

\((-\frac{45}{86}, -\frac{26}{43})\)

\((\frac{43}{11}, \frac{47}{11})\)

#10. \( \begin{cases} -7x-2y=-10\\-5x+5y=1\\\end{cases} \)

\((-5, 1)\)

\((\frac{16}{15}, \frac{19}{15})\)

\((\frac{34}{37}, -\frac{13}{37})\)

\((\frac{7}{17}, \frac{19}{17})\)

#11. \( \begin{cases} -3x+2y=-5\\9x+9y=-5\\\end{cases} \)

\((-\frac{71}{73}, -\frac{89}{73})\)

\((13, 3)\)

\((\frac{7}{9}, -\frac{4}{3})\)

singular

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

\((-\frac{11}{12}, \frac{5}{6})\)

\((1.178, \frac{42}{73})\)

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

singular

#13. \( \begin{cases} 9x-4y-9z=-9\\-9x-7y+9z=-1\\6x+3y+2z=2\\\end{cases} \)

\((-0.24, \frac{10}{11}, 0.356)\)

\((0.852, 0.527, 0.977)\)

\((1.637, -0.047, -2.218)\)

singular

#14. \( \begin{cases} 7x-8y+7z=1\\-9x+y-4z=10\\6x-2y+9z=-4\\\end{cases} \)

\((-1.318, -1.115, 0.186)\)

\((-1.977, 1.864, 0.419)\)

\((0.471, -1.641, 1.109)\)

\((2.232, -\frac{57}{23}, -\frac{38}{69})\)