1) 4x + 23/5.4 = 8.5/1.7Упростим правую сторону:8.5/1.7 = 5Тогда уравнение примет вид:4x + 23/5.4 = 54x + 23/5.4 = 54x = 5 - 23/5.44x = 5 - 4.25934x = 0.7407x = 0.1852
2) 5/12 = 3/1.3x + 2Переносим 2 на другую сторону:3/1.3x = 5/12 - 23/1.3x = 5/12 - 24/123/1.3x = -19/12x = -19/12 1.3 / 3x = -19/12 13 / 30x = -19/30
3) 15/27 = 9/8x + 4.2Переносим 4.2 на другую сторону:9/8x = 15/27 - 4.29/8x = 5/9 - 37.8/99/8x = -32.8/9x = -32.8/9 * 8/9x = -262.4/81
4) 6/5 = 3x + 1.5/9Переносим 1.5/9 на другую сторону:3x = 6/5 - 1.5/93x = 10.8/9 - 1.5/93x = 9.3/9x = 3.1
5) 1.4/2x + 1 = 4.6/23Упростим уравнение:0.7/x + 1 = 0.20.7/x = -0.8x = 0.7 / -0.8x = -0.875
6) 5x - 0.8/16 = 3.4/17Упростим уравнение:5x - 0.05 = 0.25x = 0.2 + 0.055x = 0.25x = 0.25 / 5x = 0.05
1) 4x + 23/5.4 = 8.5/1.7
Упростим правую сторону:
8.5/1.7 = 5
Тогда уравнение примет вид:
4x + 23/5.4 = 5
4x + 23/5.4 = 5
4x = 5 - 23/5.4
4x = 5 - 4.2593
4x = 0.7407
x = 0.1852
2) 5/12 = 3/1.3x + 2
Переносим 2 на другую сторону:
3/1.3x = 5/12 - 2
3/1.3x = 5/12 - 24/12
3/1.3x = -19/12
x = -19/12 1.3 / 3
x = -19/12 13 / 30
x = -19/30
3) 15/27 = 9/8x + 4.2
Переносим 4.2 на другую сторону:
9/8x = 15/27 - 4.2
9/8x = 5/9 - 37.8/9
9/8x = -32.8/9
x = -32.8/9 * 8/9
x = -262.4/81
4) 6/5 = 3x + 1.5/9
Переносим 1.5/9 на другую сторону:
3x = 6/5 - 1.5/9
3x = 10.8/9 - 1.5/9
3x = 9.3/9
x = 3.1
5) 1.4/2x + 1 = 4.6/23
Упростим уравнение:
0.7/x + 1 = 0.2
0.7/x = -0.8
x = 0.7 / -0.8
x = -0.875
6) 5x - 0.8/16 = 3.4/17
Упростим уравнение:
5x - 0.05 = 0.2
5x = 0.2 + 0.05
5x = 0.25
x = 0.25 / 5
x = 0.05