Вопрос:

A. 1) 2x+4=x-5 2x-x=5-4 x=-9. Ответ: -9. 2) 3x-1=2x+7 3x-2x=7+1 x=8. Ответ: 8. 3) 4x-6=3x-1 4x-3x=1+6 x=7. Ответ: 7. 4) 8x+2=7x-4 8x-7x=-4-2 x=-6. Ответ: -6. 5) 6x+1=5x+3 6x-5x=3-1 x=2. Ответ: 2. 6) 3x-6=2-x, 3x+x=2+6, 4x=8, x=8:4, x=2. Ответ: 2. 7) 5x+11=-x-1 5x+x=-1-11 6x=-12 x=-12:6 x=-2. Ответ: -2. 8) -2x-3=4x-9 -2x-4x=-9+3 -6x=-6 x=1. Ответ: 1. 9) -x+10=2x-5 -x-2x=-5-10 -3x=-15 x=5. Ответ: 5. 10) -8x-4=-3x+6 -8x+3x=6+4 -5x=10 x=-2. Ответ: -2. 11) -11y-5=-8y+7 -11y+8y=7+5 -3y=12 y=-4. Ответ: -4. 12) -4c+9=c-1 -4c-c=-1-9 -5c=-10 c=2. Ответ: 2. 13) 6-8t=1-3t -8t+3t=1-6 -5t=-5 t=1. Ответ: 1. 14) -1+m=-7-2m m+2m=-7+1 3m=-6 m=-2. Ответ: -2. 15) -3p-11=9+2p -3p-2p=9+11 -5p=20 p=-4. Ответ: -4.

Ответ:

Решение:

  1. \(2x+4 = x-5\)
    \(2x-x = -5-4\)
    \(x = -9\)
  2. \(3x-1 = 2x+7\)
    \(3x-2x = 7+1\)
    \(x = 8\)
  3. \(4x-6 = 3x-1\)
    \(4x-3x = 1+6\)
    \(x = 7\)
  4. \(8x+2 = 7x-4\)
    \(8x-7x = -4-2\)
    \(x = -6\)
  5. \(6x+1 = 5x+3\)
    \(6x-5x = 3-1\)
    \(x = 2\)
  6. \(3x-6 = 2-x\)
    \(3x+x = 2+6\)
    \(4x = 8\)
    \(x = \frac{8}{4}\)
    \(x = 2\)
  7. \(5x+11 = -x-1\)
    \(5x+x = -1-11\)
    \(6x = -12\)
    \(x = \frac{-12}{6}\)
    \(x = -2\)
  8. \(-2x-3 = 4x-9\)
    \(-2x-4x = -9+3\)
    \(-6x = -6\)
    \(x = 1\)
  9. \(-x+10 = 2x-5\)
    \(-x-2x = -5-10\)
    \(-3x = -15\)
    \(x = 5\)
  10. \(-8x-4 = -3x+6\)
    \(-8x+3x = 6+4\)
    \(-5x = 10\)
    \(x = -2\)
  11. \(-11y-5 = -8y+7\)
    \(-11y+8y = 7+5\)
    \(-3y = 12\)
    \(y = -4\)
  12. \(-4c+9 = c-1\)
    \(-4c-c = -1-9\)
    \(-5c = -10\)
    \(c = 2\)
  13. \(6-8t = 1-3t\)
    \(-8t+3t = 1-6\)
    \(-5t = -5\)
    \(t = 1\)
  14. \(-1+m = -7-2m\)
    \(m+2m = -7+1\)
    \(3m = -6\)
    \(m = -2\)
  15. \(-3p-11 = 9+2p\)
    \(-3p-2p = 9+11\)
    \(-5p = 20\)
    \(p = -4\)

Ответ: 1) x = -9; 2) x = 8; 3) x = 7; 4) x = -6; 5) x = 2; 6) x = 2; 7) x = -2; 8) x = 1; 9) x = 5; 10) x = -2; 11) y = -4; 12) c = 2; 13) t = 1; 14) m = -2; 15) p = -4.