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МатематикаВопрос:
Решите уравнения: 1. 4x + 3 = 9x - 7 2. 6 - 3x = 5x + 14 3. 8x - 5 = 2x + 13 4. 7x + 4 = 3x - 8 5. 9 - 4x = 6x - 11 6. 5x - 7 = 12x + 14 7. 11x + 6 = 4x - 15 8. 3 - 8x = 2x + 23 9. 10x - 3 = 7x + 12 10. 8x + 5 = 13x - 10
Ответ:
Решение:
- \( 4x + 3 = 9x - 7 \)
\( 3 + 7 = 9x - 4x \)
\( 10 = 5x \)
\( x = \frac{10}{5} \)
\( x = 2 \) - \( 6 - 3x = 5x + 14 \)
\( 6 - 14 = 5x + 3x \)
\( -8 = 8x \)
\( x = \frac{-8}{8} \)
\( x = -1 \) - \( 8x - 5 = 2x + 13 \)
\( 8x - 2x = 13 + 5 \)
\( 6x = 18 \)
\( x = \frac{18}{6} \)
\( x = 3 \) - \( 7x + 4 = 3x - 8 \)
\( 7x - 3x = -8 - 4 \)
\( 4x = -12 \)
\( x = \frac{-12}{4} \)
\( x = -3 \) - \( 9 - 4x = 6x - 11 \)
\( 9 + 11 = 6x + 4x \)
\( 20 = 10x \)
\( x = \frac{20}{10} \)
\( x = 2 \) - \( 5x - 7 = 12x + 14 \)
\( -7 - 14 = 12x - 5x \)
\( -21 = 7x \)
\( x = \frac{-21}{7} \)
\( x = -3 \) - \( 11x + 6 = 4x - 15 \)
\( 11x - 4x = -15 - 6 \)
\( 7x = -21 \)
\( x = \frac{-21}{7} \)
\( x = -3 \) - \( 3 - 8x = 2x + 23 \)
\( 3 - 23 = 2x + 8x \)
\( -20 = 10x \)
\( x = \frac{-20}{10} \)
\( x = -2 \) - \( 10x - 3 = 7x + 12 \)
\( 10x - 7x = 12 + 3 \)
\( 3x = 15 \)
\( x = \frac{15}{3} \)
\( x = 5 \) - \( 8x + 5 = 13x - 10 \)
\( 5 + 10 = 13x - 8x \)
\( 15 = 5x \)
\( x = \frac{15}{5} \)
\( x = 3 \)
Ответ: 1. x = 2; 2. x = -1; 3. x = 3; 4. x = -3; 5. x = 2; 6. x = -3; 7. x = -3; 8. x = -2; 9. x = 5; 10. x = 3.
