Gleichungssysteme 1

Lösen
Sie die Systeme !
|
1) |
y = 14x +100 y = -12x - 82 |
x = -7, y = 2 L = { -7, 2} |
|
2) |
y = -10x +131 y = 7x - 90 |
x = 13, y = 1 L = { 13, 1} |
|
3)
|
y = 5x + 51 x = -7y - 3 |
x = -10, y = 1 L = {-10, 1} |
|
4)
|
y = -13x -118 x = 8y - 1 |
x = -9, y = -1 L = { -9, -1} |
|
5) |
y = 14x +157 x = 7y + 65 |
x = -12, y = -11 L = {-12, -11} |
|
6) |
y = 5x - 60 x = -15y +164 |
x = 14, y = 10 L = { 14, 10} |
|
7) |
-1x + 6y = 67 5x - 6y = -119 |
x = -13, y =
9 L = {-13, 9} |
|
|
|
Ergebnis: |
Gleichungssysteme 2

Lösen Sie die Systeme !
|
8) |
y = 11x -129 y = -1x +
3 |
x = 11,
y = -8 L = { 11, -8} |
|
9) |
y =
-4x – 72 x = 2y +
9 |
x = -15,
y = -12 L = {-15, -12} |
|
10) |
-14x - 72y = -177 3x + 15y = 0 |
x =
15, y = -3 L = { 15, -3} |
|
11) |
10x + 72y = -120 -8x + 11y = -37 |
x = -5,
y = -7 L = { -5, -7} |
|
12)
|
8x + 72y = 30 8x + 7y =
9 |
x = -5,
y = 7 L = { -5, 7} |
|
13) |
y = -8x – 94 |
x
= -12, y = 2 L = {-12,
2} |
|
14) |
-3x + 94y = -4 -14x - 2y = -30 |
x = 2,
y = 1 L = { 2,
1} |
|
|
|
Ergebnis: __/14 |
Gleichungssysteme 3
Lösen
Sie die Systeme !
![]()
|
15) |
5x - 18y - 8z = -153 -14x - 1y - 13z = -475 13x - 24y + 2z = 81 |
x = 23, y = 10, z = 11 L = { 23, 10, 11} |
|
16) |
17x + 9y + 19z = 266 14x - 9y - 16z = -401 -9x - 1y - 25z = -376 |
x = -6, y = 5, z = 17 L = { -6, 5, 17} |
|
17) |
-24x + 24y - 23z = 127 -17x + 2y + 20z = -31 16x - 11y - 13z = -158 |
x = 13, y = 25, z = 7 L = { 13, 25, 7} |
|
18) |
-11x + 14y - 15z = 198 -25x + 4y + 20z = -77 -10x + 10y + 6z = -144 |
x = -15, y = -18, z = -19 L = { -15, -18, -19} |
|
19) |
18x + 11y + 7z = -312 7x + 12y - 19z = 316 -6x - 4y - 11z = 258 |
x = -14, y = 6, z = -18 L = { -14, 6, -18} |
|
|
|
Ergebnis : |
Gleichungssysteme 4
Lösen Sie die Systeme !

|
20) |
1x + 22y + 2z =
-95 19x - 10y - 9z =
424 19x + 23y + 0z =
193 |
x = 15, y = -4,
z = -11 L = { 15, -4, -11} |
|
21) |
-9x + 6y - 22z = -129 19x - 12y - 6z = 123 -16x + 20y - 17z = -51 |
x = 15, y = 12, z =
3 L = { 15, 12, 3} |
|
22) |
-18x - 9y - 12z = 510 -17x + 3y - 3z =
235 15x + 10y - 18z = -419 |
x = -17, y = -20, z = -2 L = { -17, -20, -2} |
|
23) |
-23x + 8y - 25z = 88 18x - 8y + 16z = -98 13x + 23y - 12z = -827 |
x = -25, y = -14, z = 15 L = { -25, -14, 15} |
|
24) |
-4x + 10y - 14z = -12 2x - 8y - 15z = -269 -7x + 3y + 5z =
144 |
x = -8, y = 11, z = 11 L = { -8, 11, 11} |
|
|
|
Ergebnis : |
Letzte
Änderung: 00-11-02/Bu 05-01-26