Question

ACTIVIDAD
Resolver las siguientes ecuaciones y probarlas:

1. 5x = 8x – 15

2. 4x + 1 = 2

3. y – 5 = 3y – 25

4. 5x + 6 = 10x + 5

5. 9y – 11 = – 10 + 12y

6. 21 – 6x = 27 – 8x

7. 11x + 5x – 1 = 65x – 36

8. 8x – 4 + 3x = 7x + x + 14

9. 8x + 9 – 12x = 4x – 13 – 5x

10. 5y + 6y – 81 = 7y + 102 + 65y

11. 16 + 7x – 5 + x = 11x – 3 – x

12. 3x + 101 – 4x – 33 = 108 –
16x – 100

13. 14 – 12x + 39x – 18x = 256 – 60x – 657x

14. 8x – 15x – 30x – 51x = 53x + 31x – 172
​

Answer 1

Respuesta:

1.

-3x+15=0

x=-(-15)/-3

x=- (3).(5)/(3).(-1)=5

2

4x-1=0

(4).x+(-1)=0

X=-(-1)/4 x=1/4

3

-2y+20=0

(-2).y+(20)=0

y=-(20)/-2

y=- (2).(10)/(2).(-1)=10

4

-5x+1=0

(-5).x+(1)=0

x=(-1)/-5 x=1/5

5

(9y-11)-(12y-10)=0

-3y-1=0

(-3).y+(-1)=0

y=-(-1)/-3 y=- 1/3

6

21-6x=27-8x

(-6x+21)-(-8x+27)=0

2x-6=0

(2).x+(-6)=0

x=-(-6)/2

x=- (2).(-3)/2=3

7

11x+5x-1=65x-36

(16x-1)-(-65x-36)=0

-49x+35=0

(-49).x+(35)=0

x=-(35)/-49

x=(7).(5)/(7).(-7)=5/7

8

(11x-4)-(8x+14)=0

3x-18=0

(3).x+(-18)=0

x=-(-18)/3

x=- (3).(-6)/3=6

9

(-4x+9)-(-x-13)=0

-3x+22=0

(-3).x+(22)=0

X=-(22)/3 x=22/3

10

(11y-81)-(72y+102)=0

-61y-183=0

(-61).y+(-183)=0

y=-(-183)/-61

y=- (61).(-3)/(61).(-1)=3

11

(7x+16)-5+x-[(11x-3)-x]=0

(7x+11)+x(10x-3)=0

(8x+11)-(10x-3)=0

-2x+14=0

(-2).x+(14)=0

x=-(14)/-2

X=- (2).(7)/(2).(-1)=7

12

(3x+101)-4x-33-[(-16x+108)-100]=0

(-x+101)-33-(-16x+8)=0

(-x+68)-(-16x+8)=0

15x+60=0

(15).x+(60)=0

X=-(60)/15

X)- (15).(4)/(15)=-4

13

(-12x+14)+39x-18x-[(-60x+256)-657x]=0

(27x+14)-18x-(-717x+256)=0

(9x+14)-(-717x+256)=0

726x-242=0

(726).x+(-242)=0

X=-(-242)/726

X=- (242).(-1)/(242).(3)=1/3

14

-7x-30-51x-(84x-172)=0

-37x-51x-(84x-172)=0

-88x-(84x-172)=0

-172x+172=0

X=-(172)/-172

X=- (172)/(172).(-1)=1