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Substitutie of combinatie

1. \(\left\{\begin{matrix}-5x-5y=\frac{-19}{4}\\x+y=\frac{19}{20}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-2y=\frac{33}{10}-3x\\-6x+y=\frac{-123}{20}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-3}{4}\\-5x+4y=\frac{21}{2}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-y=\frac{5}{7}-x\\2x+3y=\frac{-50}{7}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}3y=6-4x\\-x+5y=\frac{131}{20}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{231}{38}\\2x=y+\frac{-62}{19}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}6y=\frac{278}{105}+2x\\x-y=\frac{-79}{105}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x-6y=\frac{118}{15}\\-4x=y+\frac{113}{15}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}6y=\frac{-250}{39}+4x\\-2x+y=\frac{67}{117}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}2y=\frac{-337}{110}-6x\\5x-y=\frac{-943}{220}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-3x-5y=7\\-x=-6y+\frac{4}{5}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}-4y=\frac{-4}{7}+4x\\-x+3y=\frac{19}{7}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-5x-5y=\frac{-19}{4}\\x+y=\frac{19}{20}\end{matrix}\right.\qquad V=\{(\frac{-13}{20},\frac{8}{5})\}\)
2. \(\left\{\begin{matrix}-2y=\frac{33}{10}-3x\\-6x+y=\frac{-123}{20}\end{matrix}\right.\qquad V=\{(1,\frac{-3}{20})\}\)
3. \(\left\{\begin{matrix}-x-3y=\frac{-3}{4}\\-5x+4y=\frac{21}{2}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{3}{4})\}\)
4. \(\left\{\begin{matrix}-y=\frac{5}{7}-x\\2x+3y=\frac{-50}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-12}{7})\}\)
5. \(\left\{\begin{matrix}3y=6-4x\\-x+5y=\frac{131}{20}\end{matrix}\right.\qquad V=\{(\frac{9}{20},\frac{7}{5})\}\)
6. \(\left\{\begin{matrix}-3x+6y=\frac{231}{38}\\2x=y+\frac{-62}{19}\end{matrix}\right.\qquad V=\{(\frac{-3}{2},\frac{5}{19})\}\)
7. \(\left\{\begin{matrix}6y=\frac{278}{105}+2x\\x-y=\frac{-79}{105}\end{matrix}\right.\qquad V=\{(\frac{-7}{15},\frac{2}{7})\}\)
8. \(\left\{\begin{matrix}4x-6y=\frac{118}{15}\\-4x=y+\frac{113}{15}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{-11}{5})\}\)
9. \(\left\{\begin{matrix}6y=\frac{-250}{39}+4x\\-2x+y=\frac{67}{117}\end{matrix}\right.\qquad V=\{(\frac{-16}{13},\frac{-17}{9})\}\)
10. \(\left\{\begin{matrix}2y=\frac{-337}{110}-6x\\5x-y=\frac{-943}{220}\end{matrix}\right.\qquad V=\{(\frac{-8}{11},\frac{13}{20})\}\)
11. \(\left\{\begin{matrix}-3x-5y=7\\-x=-6y+\frac{4}{5}\end{matrix}\right.\qquad V=\{(-2,\frac{-1}{5})\}\)
12. \(\left\{\begin{matrix}-4y=\frac{-4}{7}+4x\\-x+3y=\frac{19}{7}\end{matrix}\right.\qquad V=\{(\frac{-4}{7},\frac{5}{7})\}\)