Question

ДАЮ 97 БАЛОВ 1) 2х+8=6х-2, 2) 10у+3=2у-1, 3) -4+3к=8к+5. 4) 9+4а=8а-9, 5) 3в+9=8в+2, 6) 6-2с=3с-10, 7) 5-2у=8у+9, 8) -4х+3=4х-5, 9) 4а+4=-6а-5. 10) 3у+3=-2-7у. 11) -10х+3=-1-8х, 12) 9-4х=-4-9х, 13) -8а+9=3-4а, 14) 7/9с+3=2/3с+5, 15) 2/3t-1/2t+2=1/4t-3, 16) 1/2x+1/6x+5=x, 17) 0,2f+2,3=0,7f-3,2, 18) -0,4x-14=0,3x, 19) -40·(-7x+5)=-1600, 20) (-20t-50)·2=100, 21) 2,1·(4-6e)=-42, 22) -3·(2-15k)=-6, 23) -20·(x-13)=-220, 24) (30-7r)·8=352, 25) (2,8-0,1h)·3,7=7,4, 26) (3x-1,2)·7=10,5, 27) 5/12x-3/4=1/2.

Answer 1

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Answer 2

1) x=2,5; 2) у=-0,5; 3) k=-1,8; 4) a=4,5; 5) b=1,4; 6) c=3,2; 7) y=-0,4; 8) x=1;             9) a=-0,9; 10) y=-0,5; 11) x=2; 12) x=-2,6; 13) a=1,5; 14) c=18; 15) t=60; 16) x=15;

17) f=11; 18) x=-20; 19) x=-5; 20) t=-5; 21) e=4; 22) k=0; 23) x=24; 24) r=-2;

25) h=8; 26) x=0,9; 27) x=3;

Answer 3

To solve the given equations, we need to find the values of the variables that satisfy each equation. Let's solve them one by one:

1. 2x + 8 = 6x - 2

Subtract 2x from both sides: 8 = 4x - 2

Add 2 to both sides: 10 = 4x

Divide by 4: x = 2.5

2. 10y + 3 = 2y - 1

Subtract 2y from both sides: 10y - 2y + 3 = -1

Combine like terms: 8y + 3 = -1

Subtract 3 from both sides: 8y = -4

Divide by 8: y = -0.5

3. -4 + 3k = 8k + 5

Add 4 to both sides: 3k = 8k + 9

Subtract 8k from both sides: 3k - 8k = 9

Combine like terms: -5k = 9

Divide by -5: k = -9/5

4. 9 + 4a = 8a - 9

Subtract 8a from both sides: 9 + 4a - 8a = -9

Combine like terms: -4a = -18

Divide by -4: a = 18/4 = 9/2 = 4.5

5. 3v + 9 = 8v + 2

Subtract 3v from both sides: 9 = 5v + 2

Subtract 2 from both sides: 7 = 5v

Divide by 5: v = 7/5 = 1.4

6. 6 - 2c = 3c - 10

Add 2c to both sides: 6 = 5c - 10

Add 10 to both sides: 16 = 5c

Divide by 5: c = 16/5 = 3.2

7. 5 - 2y = 8y + 9

Add 2y to both sides: 5 = 10y + 9

Subtract 9 from both sides: -4 = 10y

Divide by 10: y = -4/10 = -2/5 = -0.4

8. -4x + 3 = 4x - 5

Add 4x to both sides: 3 = 8x - 5

Add 5 to both sides: 8x = 8

Divide by 8: x = 1

9. 4a + 4 = -6a - 5

Add 6a to both sides: 4a + 6a + 4 = -5

Combine like terms: 10a + 4 = -5

Subtract 4 from both sides: 10a = -9

Divide by 10: a = -9/10

10. 3y + 3 = -2 - 7y

Add 7y to both sides: 3y + 7y + 3 = -2

Combine like terms: 10y + 3 = -2

Subtract 3 from both sides: 10y = -5

Divide by 10: y = -1/2

11. -10x + 3 = -1 - 8x

Add 8x to both sides: -10x + 8x + 3 = -1

Combine like terms: -2x + 3 = -1

Subtract 3 from both sides: -2x = -4

Divide by -2: x = 2

12. 9 - 4x = -4 - 9x

Add 9x to both sides: 9 - 4x + 9x = -4

Combine like terms: 5x = -4

Divide by 5: x = -4/5

13. -8a + 9 = 3 - 4a

Add 4a to both sides: -8a + 4a + 9 = 3

Combine like terms: -4a + 9 = 3

Subtract 9 from both sides: -4a = -6

Divide by -4: a = -6/-4 = 3/2 = 1.5

14. (7/9)c + 3 = (2/3)c + 5

Subtract (2/3)c from both sides: (7/9)c - (2/3)c + 3 = 5

To make the denominators the same, multiply the whole equation by 9: 7c - 6c + 27 = 45

Combine like terms: c + 27 = 45

Subtract 27 from both sides: c = 45 - 27 = 18

15. (2/3)t - (1/2)t + 2 = (1/4)t - 3

To make the denominators the same, multiply the whole equation by 12: 8t - 6t + 24 = 3t - 36

Combine like terms: 2t + 24 = 3t - 36

Subtract 2t from both sides: 24 = t - 36

Add 36 to both sides: t = 60

16. (1/2)x + (1/6)x + 5 = x

To make the denominators the same, multiply the whole equation by 12: 6x + 2x + 60 = 12x

Combine like terms: 8x + 60 = 12x

Subtract 8x from both sides: 60 = 4x

Divide by 4: x = 60/4 = 15

17. 0.2f + 2.3 = 0.7f - 3.2

Subtract 0.2f from both sides: 2.3 = 0.5f - 3.2

Add 3.2 to both sides: 5.5 = 0.5f

Divide by 0.5: f = 5.5/0.5 = 11

18. -0.4x - 14 = 0.3x

Add 0.4x to both sides: -14 = 0.7x

Divide by 0.7: x = -14/0.7 = -20

19. -40(-7x + 5) = -1600

Distribute the -40: 280x - 200 = -1600

Add 200 to both sides: 280x = -1400

Divide by 280: x = -1400/280 = -5

20. (-20t - 50) * 2 = 100

Distribute the 2: -40t - 100 = 100

Add 100 to both sides: -40t = 200

Divide by -40: t = -200/-40 = 5