Question

Ayúdenme a resolver estas ecuaciones lineales con método de reducción, por favor es para mañana aaaa​

Answer 1

Explicación paso a paso:

a)3a -2b = 4

(2)a + b(2)= -1(2)

3a+ -2b +2a+2b=4-2

5a= 2

a = 2/5

3(2/5) - 2b = 4

6/5 - 2b = 4

-2b= 20/5 - 6/5

-2b= 14/5

b= 14/5 ÷- 2

b= 14/5 x- 1/2

b= -7/5

A= 2/5 , B=-7/5

b)(2) 5x +2y(2)=8(2)

2x -4y= -8

10x + 4y+2x-4y= 16 -8

10x + 2x= 8

12x= 8

x= 8/12

x= 2/3

5(2/3) + 2y = 8

(10/3) + 2y = 8

2y= 8 - 10/3

2y= 24/3 -10/3

2y = 14/3

y= 14/3 ÷ 2

y= 14/3 x 1/2

y= 14/6

y= 7/3

X= 2/3 , Y = 7/3

c) 95x + 20y=800

20x-4y = -100

95x + 20y = 800

(5)20x - 4y (5)= -100(5)

95x + 20y + 100x - 20y = 800 - 500

195x = 300

x= 300/195 = 100/65 = 20/13

x= 20/13

20(20/13) - 4y = -100

400/13 - 4y = -100

-4y = -100 -400/13

-4y = -1300/13 -400/13

-4y = -1700/13

y= -1700/13 ÷ -4

y= -1700/13 x -1/4

y= 1700/ 52 = 850/26= 425/13

y=425/13

x= 20/13 , Y= 425/13

d) (-20)x + (-20)y= 3474(-20)

23x + 20y= 79827

-20x -20y +23x +20y= -69480 + 79827

3x=10347

x= 10347/3

x= 3449

(3449) + y = 3474

y= 3474 - 3449

y= 25

A= 3449 , Y=25

e)(-200)x + (-200)y = 400(-200)

200x + 250y= 8750

50y= 80000-8750

50y=71250

y=1425

x +(-1425)= 400

x = 400 + 1425

x= 1825

x = 1825 , y= -1425