Problemas reales simples para sistemas de ecuaciones lineales en dos variables

1.2x+9y=81

3x+y=34

2.9x+4y=35

8x+3y=30

3,7x+2y=52

7x+4y=62

4,4x+6y=54

9x+2y=87

5.2x+y=7

2x+5y=19

6.x+2y=21

3x+5y=56

7.5x+7y=52

5x+2y=22

8.5x+5y=65

7x+7y=203

9.8x+4y=56

x+4y=21

10.5x+7y=41

5x+8y=44

11.7x+5y=54

3x+4y=38

12.x+8y=15

4x+y=29

13.3x+6y=24

9x+5y=46

14.9x+2y=62

4x+3y=36

15.9x+4y=46

7x+4y=42

16.9x+7y=135

4x+y=41

17.3x+8y=51

x+6y=27

18.9x+3y=99

4x+7y=95

19.9x+2y=38

3x+6y=18

20.5 veces+5y=45

7x+9y=69

21.8x+2y=28

7x+8y=62

22.x+6y=14

3x+3y=27

23,7x+4y=67

2x+8y=26

24,5x+4y=52

7x+6y=74

25,7x+y=9

4x+6y=16

26,6x+6y=48

6x+3y=42

27.8x+2y=16

7x+y=11

28.4 veces+9y=77

8x+6y=94

29,6x+8y=68

7x+6y=66

30,2x+2y=22

7x+2y=47

Respuesta

1.2x+9y=81

3x+y=34

2x+9(34-3x)=81

27x-2x=306-81

25x=225

x=9

y=34-3x=34-3*9=7

x=9

y=7

2.9x+4y=35

8x+3y=30

27x+12y=105

32x+12y=120

32x-27x=120-105

5x=15

x=3

y=(30-8x)/3=(30-8*3)/3=2

x=3

y= 2

3.7x+2y=52

7x+4y=62

4y-2y=62-52

2y=10

y=5

x=(52-2y)/7=(52-2*5)/7=6

x=6

p>

y=5

4.4x+6y=54

9x+2y=87

4x+6y=54

27x+6y=261

27x-4x=261-54

p>

23x=207

x=9

y=(87-9x)/2=(87-9*9)/2=3

x=9

y=3

5.2x+y=7

2x+5y=19

5y- y=19-7

4y=12

y=3

x=(7-y)/2=(7-3)/2= 2

x=3

y=2

6.x+2y=21

3x+5y=56

3x+6y=63

3x+5y=56

6y-5y=63-56

y=7

x=21-2y=21-2*7=7

x=7

y=7

7.5x+7y=52

5x+2y=22

7y-2y=52-22

5y=30

y=6

x=(22-2y)/5=(22-2*6)/5=2

x=2

y=6

8.5 x+5y=65

7x+7y=203

x+y=13

x+y=29

9.8x +4y=56

x+4y=21

8(21-4y)+4y=56

32y-4y=168-56

28y=112

y=4

x=21-4y=21-4*4=5

x=5

y=4

10.5x+7y=41

5x+8y=44

8y-7y=44-41

y=3

x =(41-7y)/5 =(41-7 * 3)/5 = 4

x=4

y=3

11.7x+5y=54

3x+4y=38

28x+20y=216

15x+ 20y =190

28x-15x=26

x=2

y=(38-3x)/4=(38-3*2)/ 4 =8

x=2

y=8

12.x+8y=15

4x+y=29

p>

4x+32y=60

4x+y=29

32y-y=31

y=1

x=15-8y=15-8=7

x=7

y=1

13.3x+6y=24

9x+5y=46

x+2y=8

9x+5y=46

9(8-2y)+5y=46

p>

18y-5y=72-46

13y=26

y=2

x=8-2y=8-2* 2 =4

x=4

y=2

14.9x+2y=62

4x+3y=36

p>

27x+6y=186

8x+6y=72

27x-8x=186-72

19x=114

x=6

y=(62-9x)/2=(62-9*6)/2=4

x=6

y=4

15.9x+4y=46

7x+4y=42

9x-7x=46-42

2x=4

x=2

y=(42-7x)/4=(42-7*2)/4=7

x = 2

y=7

16.9x+7y=135

p>

4x+y=41

9x+7(41-4x)=135

28x-9x=287-135

19x= 152

x=8

y=41-4x=41-4*8=9

x=8

y= 9

17.3x+8y=51

x+6y=27

3(27-6y)+8y=51

18y-8y=81-51

10y=30

y=3

x=27-6y=27-6*3=9

x=9

y=3

18,9x+3y=99

4x+7y=95

63x +21y=693

12x+21y=285

63x-12x=693-285

51x=408

x=8

y=(99-9x)/3=(99-9*8)/3=9

x=8

y=9

y=9

p>

19.9x+2y=38

3x+6y=18

9x+2y=38

9x+18y=54

18y-2y=54-38

16y=16

y=1

x =(18-6 años)/3 =(18 -6 * 1)/3 = 4

x=4

y=1

20,5 veces + 5y=45

7x +9y=69

x+y=9

7x+9y=69

7x+7y=63

9y-7y =69-63

2y=6

y=3

x=9- y=9-3=6

x =6

y=3

21.8x+2y=28

7x+8y =62

4x+y=14

7x+8y=62

7x+8(14-4x)=62

32x-7x=112-62

25x =50

x=2

y=14-4x=14-4*2=6

x=2

y =6

22.x+6y=14

3x+3y=27

3x+18y=42

3x+3y =27

18y-3y=15

y=1

x = 14- 6y = 14-6 * 1 = 8

x=8

y=1

23.7x+4y=67

2x +8y=26

7x+4y= 67

x+4y=13

7x-x=67-13

6x =54

x=9

y =(13-x)/4 =(13-9)/4 = 1

x=9

y=1

24.5x+4y=52

7x+6y=74

30x+24y=312

28x+24y=296

30x -28x=312-296

2x=16

x=8

y= (52-5x)/4=(52-5*8) /4=3

x=8

y=3

25.7x+y =9

4x+6y=16

42x+6y=54

4x+6y=16

42x-4x=54 -16

38x=38

x=1

y=9-7x=9-7*1=2

x

=1

y=2

26.6x+6y=48

6x+3y=42

6y-3y=48- 42

3y=6

y=2

x=(42-3y)/6=(42-3*2)/6=6

x=6

y=2

27.8x+2y=16

7x+y=11

8x+2y=16

14x+2y=22

14x-8x=22-16

6x=6

x =1

y = 11-7x = 11-7 * 1 = 4

x=1

y=4

28.4 veces+9y=77

8x+6y=94

8x+18y=154

8x+6y=94

18y- 6y=154-94

12y=60

y=5

x=(77-9y)/4=(77-9*5)/ 4=8

x=8

y=5

29.6x+8y=68

7x+6y=66

42x+56y=476

42x+36y=396

56y-36y=476-396

20y=80

y=4

x=(68-8y)/6=(68-8*4)/6=6

x=6

y=4

30.2x+2y=22

7x+2y=47

7x-2x=47-22

5x=25

x=5

y = 11-x = 11-5 = 6

x=5

y= 6