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Ответ:
Решение:
- 1) a) \( 3x + 7 = 0 \)
\( 3x = -7 \)
\( x = -7/3 \) - 1) б) \( 13 - 100x = 0 \)
\( 100x = 13 \)
\( x = 13/100 = 0.13 \) - 2) a) \( 7x - 4 = x - 16 \)
\( 7x - x = -16 + 4 \)
\( 6x = -12 \)
\( x = -12/6 = -2 \) - 2) б) \( 13 - 5x = 8 - 2x \)
\( -5x + 2x = 8 - 13 \)
\( -3x = -5 \)
\( x = 5/3 \) - 2) в) \( 4y + 15 = 6y + 17 \)
\( 4y - 6y = 17 - 15 \)
\( -2y = 2 \)
\( y = -1 \) - 3) a) \( 5x + (3x - 7) = 9 \)
\( 5x + 3x - 7 = 9 \)
\( 8x = 16 \)
\( x = 2 \) - 3) б) \( 3y - (5 - y) = 11 \)
\( 3y - 5 + y = 11 \)
\( 4y = 16 \)
\( y = 4 \) - 4) a) \( (7x + 1) - (6x + 3) = 5 \)
\( 7x + 1 - 6x - 3 = 5 \)
\( x - 2 = 5 \)
\( x = 7 \) - 4) б) \( (8x + 11) - 13 = 9x - 5 \)
\( 8x - 2 = 9x - 5 \)
\( 8x - 9x = -5 + 2 \)
\( -x = -3 \)
\( x = 3 \) - в) \( 0.5x + 0.15 = 0 \)
\( 0.5x = -0.15 \)
\( x = -0.15 / 0.5 = -0.3 \) - г) \( 8 - 0.8x = 0 \)
\( 0.8x = 8 \)
\( x = 8 / 0.8 = 10 \) - г) \( 1.3p - 11 = 0.8p + 5 \)
\( 1.3p - 0.8p = 5 + 11 \)
\( 0.5p = 16 \)
\( p = 16 / 0.5 = 32 \) - д) \( 0.71x - 13 = 10 - 0.29x \)
\( 0.71x + 0.29x = 10 + 13 \)
\( x = 23 \) - е) \( 8c + 0.73 = 4.61 - 8c \)
\( 8c + 8c = 4.61 - 0.73 \)
\( 16c = 3.88 \)
\( c = 3.88 / 16 = 0.2425 \) - в) \( 48 = 11 - (9a + 2) \)
\( 48 = 11 - 9a - 2 \)
\( 48 = 9 - 9a \)
\( 9a = 9 - 48 \)
\( 9a = -39 \)
\( a = -39/9 = -13/3 \) - г) \( 13 - (5x + 11) = 6x \)
\( 13 - 5x - 11 = 6x \)
\( 2 - 5x = 6x \)
\( 2 = 6x + 5x \)
\( 2 = 11x \)
\( x = 2/11 \) - в) \( 2 = (3x - 5) - (7 - 4x) \)
\( 2 = 3x - 5 - 7 + 4x \)
\( 2 = 7x - 12 \)
\( 7x = 14 \)
\( x = 2 \) - г) \( 8x + 5 = 119 + (7 - 3x) \)
\( 8x + 5 = 119 + 7 - 3x \)
\( 8x + 3x = 126 \)
\( 11x = 126 \)
\( x = 126/11 \)
Ответ: 1) a) x = -7/3; б) x = 0.13; 2) a) x = -2; б) x = 5/3; в) y = -1; 3) a) x = 2; б) y = 4; 4) a) x = 7; б) x = 3; в) x = -0.3; г) x = 10; г) p = 32; д) x = 23; е) c = 0.2425; в) a = -13/3; г) x = 2/11; в) x = 2; г) x = 126/11.
