1. Решите уравнение: 1) a) 3x+7=0; 6) 13-100x=0; 2) a) 7x-4=x-16; 6) 13-5x=8-2x; в) 4y+15=6y+17; 3) a) 5x+(3x-7)=9; 6) 3y-(5-y)=11; 4) a) (7x+1)-(6x+3)=5; 6) (8x+11)-13=9x-5; С—9. РЕШЕНИЕ УРАВНЕНИЙ, СВОДЯЩИХСЯ К ЛИНЕЙНЫМ B) 0,5х+0,15=0; Г) 8-0,8x=0; Д) 0,71х-13=10-0,29x; E) 8c+0,73=4,61-8c; B) 48=11-(9a+2); Г) 13-(5x+11)=6x; B) 2=(3x-5)-(7-4x); Г) 8x+5=119+(7-3x).

Решение:

1. 3x+7=0
   \(3x = -7\)
   \(x = -7/3\)
2. 13-100x=0
   \(-100x = -13\)
   \(x = 13/100 = 0.13\)
3. 7x-4=x-16
   \(7x-x = -16+4\)
   \(6x = -12\)
   \(x = -2\)
4. 13-5x=8-2x
   \(-5x+2x = 8-13\)
   \(-3x = -5\)
   \(x = 5/3\)
5. 4y+15=6y+17
   \(4y-6y = 17-15\)
   \(-2y = 2\)
   \(y = -1\)
6. 5x+(3x-7)=9
   \(5x+3x-7=9\)
   \(8x = 16\)
   \(x = 2\)
7. 3y-(5-y)=11
   \(3y-5+y=11\)
   \(4y = 16\)
   \(y = 4\)
8. (7x+1)-(6x+3)=5
   \(7x+1-6x-3=5\)
   \(x-2=5\)
   \(x=7\)
9. (8x+11)-13=9x-5
   \(8x+11-13=9x-5\)
   \(8x-2=9x-5\)
   \(-2+5=9x-8x\)
   \(3=x\)
10. 0,5х+0,15=0
    \(0,5x = -0.15\)
    \(x = -0.15/0.5 = -0.3\)
11. 8-0,8x=0
    \(-0.8x = -8\)
    \(x = -8/-0.8 = 10\)
12. 1,3p-11=0,8p+5
    \(1.3p-0.8p = 5+11\)
    \(0.5p = 16\)
    \(p = 16/0.5 = 32\)
13. 0,71х-13=10-0,29x
    \(0.71x+0.29x = 10+13\)
    \(1x = 23\)
    \(x = 23\)
14. 8c+0,73=4,61-8c
    \(8c+8c = 4.61-0.73\)
    \(16c = 3.88\)
    \(c = 3.88/16 = 0.2425\)
15. 48=11-(9a+2)
    \(48 = 11-9a-2\)
    \(48 = 9-9a\)
    \(48-9 = -9a\)
    \(39 = -9a\)
    \(a = -39/9 = -13/3\)
16. 13-(5x+11)=6x
    \(13-5x-11=6x\)
    \(2-5x=6x\)
    \(2=11x\)
    \(x = 2/11\)
17. 2=(3x-5)-(7-4x)
    \(2 = 3x-5-7+4x\)
    \(2 = 7x-12\)
    \(14 = 7x\)
    \(x = 2\)
18. 8x+5=119+(7-3x)
    \(8x+5=119+7-3x\)
    \(8x+5=126-3x\)
    \(8x+3x=126-5\)
    \(11x=121\)
    \(x=11\)

Ответ: x=-7/3; x=0.13; x=-2; x=5/3; y=-1; x=2; y=4; x=7; x=3; x=-0.3; x=10; p=32; x=23; c=0.2425; a=-13/3; x=2/11; x=2; x=11.