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Soustava lineárních rovnic

Total questions: 20

Worksheet time: 30mins

Name
Class
Date
1.

Čím je potřeba vynásobit uvedenou rovnici, abychom u neznámé x získali číslo 8?


2x - 5y = 6

a)

4

b)

-4

c)

2

d)

-2

2.

Máme rovnici:


x - 9y = 27


Jaký tvar bude mít rovnice, když za neznámou y dosadíme číslo 5?

a)

x - 95 = 27

b)

x - 5 = 27

c)

x - 9 . 5 = 27

d)

5 - 9 = 27

3.

Do uvedené rovncie dosaď za neznámou x číslo 6 a vypočítej, jaké hodnotě se rovná neznámá y.


-3x + 5y = 27

(a)  

4.

Jakou rovnici získáme, když sečteme uvedené rovnice?


-10x + 4y = 15

10x - 2y = -10

a)

4y - 2y = 15 - 10

b)

4y = 15

c)

6y = 15

d)

4y - (-2y) = 15 + 10

5.

Vyřeš soustavu rovnic:

x + y = 1

2x - 3y = 12

a)

x = 3

b)

y = -2

c)

x = 2

d)

y = -4

6.

Vyřeš soustavu rovnic:


4x + 3y =5

8x + 7y = 9

a)

x = 3

b)

y = -4

c)

y = -1

d)

x = 2

7.

Vyřeš soustavu rovnic:


-2x + 5y = 1

3x + 3y = 9

a)

x = 3

b)

x = 2

c)

y = 5

d)

y = 1

8.

Solve:


3x - y = 11

x + y = 5

a)

x = 4

y = 1

b)

x = 4

y = -1

c)

x = -4

y = 1

d)

x = -4

y = -1

9.

Solve:

2x + 3y = 5

x + 3y = 7

a)

x = -2

y = 3

b)

x = -2

y = -3

c)

x = 2

y = 3

d)

x = 2

y = -3

10.

Solve:

2x + 5y = 29

x + 5y = 22

a)

x = 7

y = 3

b)

x = -7

y = -3

c)

x = 7

y = -3

d)

x = -7

y = 3

11.

Solve:

3x + 5y = 4

4x - 5y = -18

a)

x = -2

y = 2

b)

x = -2

y = -2

c)

x = 2

y = -2

d)

x = 2

y = 2

12.

Solve:

3x - 4y = 26

2x - 4y = 20

a)

x = 6

y = -2

b)

x = -6

y = -2

c)

x = -6

y = 2

d)

x = 6

y = 2

13.

Solve:

2x + y = 16

4x - y = 2

a)

x = 3

y = 10

b)

x = -3

y = -10

c)

x = -3

y = 10

d)

x = 3

y = -10

14.

Solve:

4x - y = 17

7x - y = 32

a)

x = 5

y = 3

b)

x = -5

y = 3

c)

x = 5

y = -3

d)

x = -5

y = -3

15.

Solve:

3x + 2y = 15

7x + 2y = 19

a)

x = 1

y = 6

b)

x = -1

y = 6

c)

x = 1

y = -6

d)

x = -1

y = -6

16.

Solve for (x , y)

-2x + 6y = 16

-4x - 3y = 2

a)

(2 , 2)

b)

(-2 , -2)

c)

(-2 , 2)

d)

(2 , 1)

17.

Solve for (x , y)

5x + y = 9

10x − 7y = −18

a)

(-4 , -1)

b)

(-1 , -4)

c)

(4 , 1)

d)

(1 , 4)

18.

Solve the simultaneous equations

a + b = 11

a - b = 3

a)

a = 7, b = 4

b)

a = -4, b = 7

c)

a = 4, b = 7

d)

a = 4, b = -7

19.

Solve by substitution:
2x3y=12x-3y=-1
  y=x1y=x-1  

a)

(3, 4)

b)

(4, 3)

c)

(4, 4)

d)

(3, 3)

20.

Solve by elimination:
5x+y=95x+y=9
  10x7y=1810x-7y=-18  

a)

(4, 1)

b)

(-1, 4)

c)

(1, 4)

d)

(4, -1)