# Stelsels substitutie (reeks 2)

#### Substitutie

1. $$\left\{\begin{matrix}-y=\frac{-31}{2}+5x\\-4x-6y=\frac{-49}{5}\end{matrix}\right.$$
2. $$\left\{\begin{matrix}x-3y=-59\\-3x+5y=97\end{matrix}\right.$$
3. $$\left\{\begin{matrix}6y=\frac{-9}{10}-3x\\-x+3y=\frac{-169}{20}\end{matrix}\right.$$
4. $$\left\{\begin{matrix}-6y=\frac{-61}{6}-5x\\-x-4y=\frac{-161}{18}\end{matrix}\right.$$
5. $$\left\{\begin{matrix}-x-4y=\frac{-1073}{48}\\4x=-4y+\frac{257}{12}\end{matrix}\right.$$
6. $$\left\{\begin{matrix}6x+4y=\frac{32}{9}\\-x-y=\frac{-13}{18}\end{matrix}\right.$$
7. $$\left\{\begin{matrix}4x-2y=\frac{460}{117}\\5x-y=\frac{770}{117}\end{matrix}\right.$$
8. $$\left\{\begin{matrix}x+4y=\frac{877}{140}\\-2x=2y+\frac{-277}{70}\end{matrix}\right.$$
9. $$\left\{\begin{matrix}4x+2y=\frac{-23}{6}\\-x=y+\frac{83}{60}\end{matrix}\right.$$
10. $$\left\{\begin{matrix}-5y=\frac{-545}{33}-5x\\-3x-y=\frac{81}{11}\end{matrix}\right.$$
11. $$\left\{\begin{matrix}x-2y=\frac{-53}{15}\\2x=-3y+\frac{11}{10}\end{matrix}\right.$$
12. $$\left\{\begin{matrix}5x+6y=\frac{40}{21}\\4x-y=\frac{-142}{21}\end{matrix}\right.$$

#### Substitutie

##### Verbetersleutel

1. $$\left\{\begin{matrix}-y=\frac{-31}{2}+5x\\-4x-6y=\frac{-49}{5}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-1}{2})\}$$
2. $$\left\{\begin{matrix}x-3y=-59\\-3x+5y=97\end{matrix}\right.\qquad V=\{(1,20)\}$$
3. $$\left\{\begin{matrix}6y=\frac{-9}{10}-3x\\-x+3y=\frac{-169}{20}\end{matrix}\right.\qquad V=\{(\frac{16}{5},\frac{-7}{4})\}$$
4. $$\left\{\begin{matrix}-6y=\frac{-61}{6}-5x\\-x-4y=\frac{-161}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{2},\frac{19}{9})\}$$
5. $$\left\{\begin{matrix}-x-4y=\frac{-1073}{48}\\4x=-4y+\frac{257}{12}\end{matrix}\right.\qquad V=\{(\frac{-5}{16},\frac{17}{3})\}$$
6. $$\left\{\begin{matrix}6x+4y=\frac{32}{9}\\-x-y=\frac{-13}{18}\end{matrix}\right.\qquad V=\{(\frac{1}{3},\frac{7}{18})\}$$
7. $$\left\{\begin{matrix}4x-2y=\frac{460}{117}\\5x-y=\frac{770}{117}\end{matrix}\right.\qquad V=\{(\frac{20}{13},\frac{10}{9})\}$$
8. $$\left\{\begin{matrix}x+4y=\frac{877}{140}\\-2x=2y+\frac{-277}{70}\end{matrix}\right.\qquad V=\{(\frac{11}{20},\frac{10}{7})\}$$
9. $$\left\{\begin{matrix}4x+2y=\frac{-23}{6}\\-x=y+\frac{83}{60}\end{matrix}\right.\qquad V=\{(\frac{-8}{15},\frac{-17}{20})\}$$
10. $$\left\{\begin{matrix}-5y=\frac{-545}{33}-5x\\-3x-y=\frac{81}{11}\end{matrix}\right.\qquad V=\{(\frac{-8}{3},\frac{7}{11})\}$$
11. $$\left\{\begin{matrix}x-2y=\frac{-53}{15}\\2x=-3y+\frac{11}{10}\end{matrix}\right.\qquad V=\{(\frac{-6}{5},\frac{7}{6})\}$$
12. $$\left\{\begin{matrix}5x+6y=\frac{40}{21}\\4x-y=\frac{-142}{21}\end{matrix}\right.\qquad V=\{(\frac{-4}{3},\frac{10}{7})\}$$
Oefeningengenerator vanhoeckes.be/wiskunde 2022-06-27 06:39:59