Вопрос:

464. a) x+2 = 4-x 6) 3x+1 = 5x - 3 в) 2х-3 = 2-3x г) 2x + 3 = 3x-7 д) 9х-2 = 5х-2\(\ne\)) 10-3x = 2x - 15 ж) 10x + 7 = 8x-9 3) 53-6x = 4x-17 и) 8 + 2х = 16+ x к) 7х-8 = 8-x л) 15 + 5х = 22-2x м) 4-5x = 12-3x р) 2,5z-3 = z-4,5

Ответ:

Решение:

  1. 464. a) \( x+2 = 4-x \)
    \( x+x = 4-2 \)
    \( 2x = 2 \)
    \( x = 1 \)
  2. 6) \( 3x+1 = 5x - 3 \)
    \( 3x-5x = -3-1 \)
    \( -2x = -4 \)
    \( x = 2 \)
  3. в) \( 2х-3 = 2-3x \)
    \( 2x+3x = 2+3 \)
    \( 5x = 5 \)
    \( x = 1 \)
  4. г) \( 2x + 3 = 3x-7 \)
    \( 2x-3x = -7-3 \)
    \( -x = -10 \)
    \( x = 10 \)
  5. д) \( 9х-2 = 5х-2 \)
    \( 9x-5x = -2+2 \)
    \( 4x = 0 \)
    \( x = 0 \)
  6. e) \( 10-3x = 2x - 15 \)
    \( -3x-2x = -15-10 \)
    \( -5x = -25 \)
    \( x = 5 \)
  7. ж) \( 10x + 7 = 8x-9 \)
    \( 10x-8x = -9-7 \)
    \( 2x = -16 \)
    \( x = -8 \)
  8. 3) \( 53-6x = 4x-17 \)
    \( -6x-4x = -17-53 \)
    \( -10x = -70 \)
    \( x = 7 \)
  9. и) \( 8 + 2х = 16+ x \)
    \( 2x-x = 16-8 \)
    \( x = 8 \)
  10. к) \( 7х-8 = 8-x \)
    \( 7x+x = 8+8 \)
    \( 8x = 16 \)
    \( x = 2 \)
  11. л) \( 15 + 5х = 22-2x \)
    \( 5x+2x = 22-15 \)
    \( 7x = 7 \)
    \( x = 1 \)
  12. м) \( 4-5x = 12-3x \)
    \( -5x+3x = 12-4 \)
    \( -2x = 8 \)
    \( x = -4 \)
  13. р) \( 2,5z-3 = z-4,5 \)
    \( 2,5z-z = -4,5+3 \)
    \( 1,5z = -1,5 \)
    \( z = -1 \)

Ответ: а) 1; б) 2; в) 1; г) 10; д) 0; е) 5; ж) -8; з) 7; и) 8; к) 2; л) 1; м) -4; р) -1.