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Substitutie of combinatie

1. \(\left\{\begin{matrix}-3x+4y=\frac{-44}{35}\\-4x-y=\frac{-811}{140}\end{matrix}\right.\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-62}{105}\\-4x=y+\frac{622}{105}\end{matrix}\right.\)
3. \(\left\{\begin{matrix}y=\frac{289}{38}-2x\\6x-6y=\frac{-849}{19}\end{matrix}\right.\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{-215}{12}\\3x+y=\frac{-3}{4}\end{matrix}\right.\)
5. \(\left\{\begin{matrix}-3y=\frac{283}{30}-2x\\-x-2y=\frac{37}{30}\end{matrix}\right.\)
6. \(\left\{\begin{matrix}x-4y=\frac{141}{20}\\-6x+6y=\frac{-207}{10}\end{matrix}\right.\)
7. \(\left\{\begin{matrix}3x+y=\frac{888}{85}\\-6x-5y=\frac{-1686}{85}\end{matrix}\right.\)
8. \(\left\{\begin{matrix}4x+y=\frac{221}{76}\\-4x+6y=\frac{-177}{38}\end{matrix}\right.\)
9. \(\left\{\begin{matrix}4x+3y=\frac{-13}{7}\\x+3y=\frac{-19}{7}\end{matrix}\right.\)
10. \(\left\{\begin{matrix}-4y=\frac{-49}{5}+x\\3x-2y=\frac{-21}{5}\end{matrix}\right.\)
11. \(\left\{\begin{matrix}4x-6y=\frac{37}{76}\\-x-4y=\frac{-83}{38}\end{matrix}\right.\)
12. \(\left\{\begin{matrix}5y=\frac{-1251}{17}-6x\\-5x+y=\frac{-275}{17}\end{matrix}\right.\)

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Substitutie of combinatie

Verbetersleutel

1. \(\left\{\begin{matrix}-3x+4y=\frac{-44}{35}\\-4x-y=\frac{-811}{140}\end{matrix}\right.\qquad V=\{(\frac{9}{7},\frac{13}{20})\}\)
2. \(\left\{\begin{matrix}4x-4y=\frac{-62}{105}\\-4x=y+\frac{622}{105}\end{matrix}\right.\qquad V=\{(\frac{-17}{14},\frac{-16}{15})\}\)
3. \(\left\{\begin{matrix}y=\frac{289}{38}-2x\\6x-6y=\frac{-849}{19}\end{matrix}\right.\qquad V=\{(\frac{1}{19},\frac{15}{2})\}\)
4. \(\left\{\begin{matrix}-5x+6y=\frac{-215}{12}\\3x+y=\frac{-3}{4}\end{matrix}\right.\qquad V=\{(\frac{7}{12},\frac{-5}{2})\}\)
5. \(\left\{\begin{matrix}-3y=\frac{283}{30}-2x\\-x-2y=\frac{37}{30}\end{matrix}\right.\qquad V=\{(\frac{13}{6},\frac{-17}{10})\}\)
6. \(\left\{\begin{matrix}x-4y=\frac{141}{20}\\-6x+6y=\frac{-207}{10}\end{matrix}\right.\qquad V=\{(\frac{9}{4},\frac{-6}{5})\}\)
7. \(\left\{\begin{matrix}3x+y=\frac{888}{85}\\-6x-5y=\frac{-1686}{85}\end{matrix}\right.\qquad V=\{(\frac{18}{5},\frac{-6}{17})\}\)
8. \(\left\{\begin{matrix}4x+y=\frac{221}{76}\\-4x+6y=\frac{-177}{38}\end{matrix}\right.\qquad V=\{(\frac{15}{19},\frac{-1}{4})\}\)
9. \(\left\{\begin{matrix}4x+3y=\frac{-13}{7}\\x+3y=\frac{-19}{7}\end{matrix}\right.\qquad V=\{(\frac{2}{7},-1)\}\)
10. \(\left\{\begin{matrix}-4y=\frac{-49}{5}+x\\3x-2y=\frac{-21}{5}\end{matrix}\right.\qquad V=\{(\frac{1}{5},\frac{12}{5})\}\)
11. \(\left\{\begin{matrix}4x-6y=\frac{37}{76}\\-x-4y=\frac{-83}{38}\end{matrix}\right.\qquad V=\{(\frac{13}{19},\frac{3}{8})\}\)
12. \(\left\{\begin{matrix}5y=\frac{-1251}{17}-6x\\-5x+y=\frac{-275}{17}\end{matrix}\right.\qquad V=\{(\frac{4}{17},-15)\}\)