Найди значения x для всех вариантов.

Question

Найди значения x для всех вариантов.

Фото задания

Accepted Answer

Решение:

Решаем линейные уравнения для каждого варианта.

Вариант 1

\( 5x + 3 = 2x + 18 \)
\( 5x - 2x = 18 - 3 \)
\( 3x = 15 \)
\( x = \frac{15}{3} \)
\( x = 5 \)
\( 7x - 4 = 3x + 8 \)
\( 7x - 3x = 8 + 4 \)
\( 4x = 12 \)
\( x = \frac{12}{4} \)
\( x = 3 \)
\( 6x + 5 = x + 15 \)
\( 6x - x = 15 - 5 \)
\( 5x = 10 \)
\( x = \frac{10}{5} \)
\( x = 2 \)
\( 8x - 9 = 4x + 7 \)
\( 8x - 4x = 7 + 9 \)
\( 4x = 16 \)
\( x = \frac{16}{4} \)
\( x = 4 \)
\( 9x + 6 = 6x + 12 \)
\( 9x - 6x = 12 - 6 \)
\( 3x = 6 \)
\( x = \frac{6}{3} \)
\( x = 2 \)
\( 4x + 10 = 2x + 2 \)
\( 4x - 2x = 2 - 10 \)
\( 2x = -8 \)
\( x = \frac{-8}{2} \)
\( x = -4 \)
\( 3x - 5 = x + 1 \)
\( 3x - x = 1 + 5 \)
\( 2x = 6 \)
\( x = \frac{6}{2} \)
\( x = 3 \)
\( 2x + 7 = 5x - 2 \)
\( 7 + 2 = 5x - 2x \)
\( 9 = 3x \)
\( x = \frac{9}{3} \)
\( x = 3 \)
\( 7x + 1 = x + 13 \)
\( 7x - x = 13 - 1 \)
\( 6x = 12 \)
\( x = \frac{12}{6} \)
\( x = 2 \)
\( 5x - 6 = 2x - 24 \)
\( 5x - 2x = -24 + 6 \)
\( 3x = -18 \)
\( x = \frac{-18}{3} \)
\( x = -6 \)
\( 6x + 8 = 4x - 2 \)
\( 6x - 4x = -2 - 8 \)
\( 2x = -10 \)
\( x = \frac{-10}{2} \)
\( x = -5 \)
\( 8x + 4 = 3x + 29 \)
\( 8x - 3x = 29 - 4 \)
\( 5x = 25 \)
\( x = \frac{25}{5} \)
\( x = 5 \)

Вариант 2

\( 4x + 9 = x + 18 \)
\( 4x - x = 18 - 9 \)
\( 3x = 9 \)
\( x = \frac{9}{3} \)
\( x = 3 \)
\( 6x - 5 = 2x + 7 \)
\( 6x - 2x = 7 + 5 \)
\( 4x = 12 \)
\( x = \frac{12}{4} \)
\( x = 3 \)
\( 7x + 8 = 5x + 2 \)
\( 7x - 5x = 2 - 8 \)
\( 2x = -6 \)
\( x = \frac{-6}{2} \)
\( x = -3 \)
\( 5x + 1 = x + 9 \)
\( 5x - x = 9 - 1 \)
\( 4x = 8 \)
\( x = \frac{8}{4} \)
\( x = 2 \)
\( 8x - 6 = 3x + 4 \)
\( 8x - 3x = 4 + 6 \)
\( 5x = 10 \)
\( x = \frac{10}{5} \)
\( x = 2 \)
\( 9x + 7 = 4x + 32 \)
\( 9x - 4x = 32 - 7 \)
\( 5x = 25 \)
\( x = \frac{25}{5} \)
\( x = 5 \)
\( 3x - 4 = 2x - 9 \)
\( 3x - 2x = -9 + 4 \)
\( x = -5 \)
\( 2x + 5 = 6x - 7 \)
\( 5 + 7 = 6x - 2x \)
\( 12 = 4x \)
\( x = \frac{12}{4} \)
\( x = 3 \)
\( 7x - 3 = x - 15 \)
\( 7x - x = -15 + 3 \)
\( 6x = -12 \)
\( x = \frac{-12}{6} \)
\( x = -2 \)
\( 5x + 6 = 3x - 8 \)
\( 5x - 3x = -8 - 6 \)
\( 2x = -14 \)
\( x = \frac{-14}{2} \)
\( x = -7 \)
\( 6x - 9 = 4x + 3 \)
\( 6x - 4x = 3 + 9 \)
\( 2x = 12 \)
\( x = \frac{12}{2} \)
\( x = 6 \)
\( 8x + 2 = 6x + 10 \)
\( 8x - 6x = 10 - 2 \)
\( 2x = 8 \)
\( x = \frac{8}{2} \)
\( x = 4 \)

Вариант 3

\( 5x + 7 = 2x + 19 \)
\( 5x - 2x = 19 - 7 \)
\( 3x = 12 \)
\( x = \frac{12}{3} \)
\( x = 4 \)
\( 6x - 3 = 3x + 9 \)
\( 6x - 3x = 9 + 3 \)
\( 3x = 12 \)
\( x = \frac{12}{3} \)
\( x = 4 \)
\( 7x + 5 = x - 1 \)
\( 7x - x = -1 - 5 \)
\( 6x = -6 \)
\( x = \frac{-6}{6} \)
\( x = -1 \)
\( 4x + 8 = 2x - 2 \)
\( 4x - 2x = -2 - 8 \)
\( 2x = -10 \)
\( x = \frac{-10}{2} \)
\( x = -5 \)
\( 8x - 1 = 5x + 8 \)
\( 8x - 5x = 8 + 1 \)
\( 3x = 9 \)
\( x = \frac{9}{3} \)
\( x = 3 \)
\( 9x + 4 = 6x - 5 \)
\( 9x - 6x = -5 - 4 \)
\( 3x = -9 \)
\( x = \frac{-9}{3} \)
\( x = -3 \)
\( 3x + 6 = x - 2 \)
\( 3x - x = -2 - 6 \)
\( 2x = -8 \)
\( x = \frac{-8}{2} \)
\( x = -4 \)
\( 2x - 7 = 5x - 1 \)
\( -7 + 1 = 5x - 2x \)
\( -6 = 3x \)
\( x = \frac{-6}{3} \)
\( x = -2 \)
\( 6x + 9 = 2x - 7 \)
\( 6x - 2x = -7 - 9 \)
\( 4x = -16 \)
\( x = \frac{-16}{4} \)
\( x = -4 \)
\( 7x - 8 = 3x + 4 \)
\( 7x - 3x = 4 + 8 \)
\( 4x = 12 \)
\( x = \frac{12}{4} \)
\( x = 3 \)
\( 5x + 10 = 4x - 6 \)
\( 5x - 4x = -6 - 10 \)
\( x = -16 \)
\( 8x + 12 = 6x - 4 \)
\( 8x - 6x = -4 - 12 \)
\( 2x = -16 \)
\( x = \frac{-16}{2} \)
\( x = -8 \)

Ответ: Вариант 1: x = 5, 3, 2, 4, 2, -4, 3, 3, 2, -6, -5, 5. Вариант 2: x = 3, 3, -3, 2, 2, 5, -5, 3, -2, -7, 6, 4. Вариант 3: x = 4, 4, -1, -5, 3, -3, -4, -2, -4, 3, -16, -8.