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Substitutie of combinatie

1. \(\left\{\begin{matrix}-6y=12+6x\\x-6y=\frac{13}{4}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}-5x-2y=-1\\-x=4y+\frac{26}{5}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}-2x-6y=\frac{-3}{5}\\x=4y+\frac{23}{30}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}x+4y=\frac{288}{19}\\5x+5y=\frac{1215}{19}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}4x+2y=\frac{4}{3}\\-x=5y+\frac{-13}{12}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}-x-5y=\frac{2}{7}\\6x+3y=\frac{339}{7}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{-31}{56}\\3x=y+\frac{-109}{56}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4y=\frac{188}{57}+5x\\-2x-y=\frac{259}{285}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}2y=\frac{-18}{7}-2x\\-x-3y=\frac{13}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-x-2y=\frac{57}{2}\\3x=-3y+\frac{-81}{2}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}-6y=\frac{11}{14}+x\\6x+6y=\frac{27}{7}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}3y=\frac{-23}{4}-x\\6x+4y=\frac{-33}{4}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-6y=12+6x\\x-6y=\frac{13}{4}\end{matrix}\right.\qquad V=\{(\frac{-5}{4},\frac{-3}{4})\}\)
2. \(\left\{\begin{matrix}-5x-2y=-1\\-x=4y+\frac{26}{5}\end{matrix}\right.\qquad V=\{(\frac{4}{5},\frac{-3}{2})\}\)
3. \(\left\{\begin{matrix}-2x-6y=\frac{-3}{5}\\x=4y+\frac{23}{30}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{-1}{15})\}\)
4. \(\left\{\begin{matrix}x+4y=\frac{288}{19}\\5x+5y=\frac{1215}{19}\end{matrix}\right.\qquad V=\{(12,\frac{15}{19})\}\)
5. \(\left\{\begin{matrix}4x+2y=\frac{4}{3}\\-x=5y+\frac{-13}{12}\end{matrix}\right.\qquad V=\{(\frac{1}{4},\frac{1}{6})\}\)
6. \(\left\{\begin{matrix}-x-5y=\frac{2}{7}\\6x+3y=\frac{339}{7}\end{matrix}\right.\qquad V=\{(9,\frac{-13}{7})\}\)
7. \(\left\{\begin{matrix}-3x+5y=\frac{-31}{56}\\3x=y+\frac{-109}{56}\end{matrix}\right.\qquad V=\{(\frac{-6}{7},\frac{-5}{8})\}\)
8. \(\left\{\begin{matrix}4y=\frac{188}{57}+5x\\-2x-y=\frac{259}{285}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{3}{19})\}\)
9. \(\left\{\begin{matrix}2y=\frac{-18}{7}-2x\\-x-3y=\frac{13}{7}\end{matrix}\right.\qquad V=\{(-1,\frac{-2}{7})\}\)
10. \(\left\{\begin{matrix}-x-2y=\frac{57}{2}\\3x=-3y+\frac{-81}{2}\end{matrix}\right.\qquad V=\{(\frac{3}{2},-15)\}\)
11. \(\left\{\begin{matrix}-6y=\frac{11}{14}+x\\6x+6y=\frac{27}{7}\end{matrix}\right.\qquad V=\{(\frac{13}{14},\frac{-2}{7})\}\)
12. \(\left\{\begin{matrix}3y=\frac{-23}{4}-x\\6x+4y=\frac{-33}{4}\end{matrix}\right.\qquad V=\{(\frac{-1}{8},\frac{-15}{8})\}\)