1) Упростим дробь5x - 2x - 51
6
3x - 5--------- = ---------6
3x - 51 = 3x = 5x = 19
Ответ: x = 19
2) Упростим дроби3x + -------- + -------5 x - --------- = ---------2(2x + 3) 5
3x + 4 2x - 1-------- + --------- = ---------5 2 5
3x(2) - 14(5) + 4(2x + 3)(5-------------------- = 5x - 110
6x - 70 + 4(2x + 15) = 56x - 70 + 8x + 20 = 514x - 50 = 514x = 10x = 7.14
Ответ: x = 7.14
3) Упростим дроби7x - 3 9 - 4x 7 - --------- - --------- = --------9 - 4x 3 2
7x - 3(3) - (9 - 4x)(2) = 7(9 - 4x--------- - ------- = --------9 - 4x 3 2
7x - 9 - 18 + 8x = 63 - 2815x - 27 = 63 - 2815x + 28x = 943x = 9x ≈ 2.09
Ответ: x ≈ 2.09
1) Упростим дробь
5x - 2x - 51
6
3x - 5
--------- = ---------
6
3x - 51 =
3x = 5
x = 19
Ответ: x = 19
2) Упростим дроби
3x +
-------- + -------
5
x -
--------- = ---------
2(2x + 3) 5
3x + 4 2x - 1
-------- + --------- = ---------
5 2 5
3x(2) - 14(5) + 4(2x + 3)(5
-------------------- = 5x - 1
10
6x - 70 + 4(2x + 15) = 5
6x - 70 + 8x + 20 = 5
14x - 50 = 5
14x = 10
x = 7.14
Ответ: x = 7.14
3) Упростим дроби
7x - 3 9 - 4x 7 -
--------- - --------- = --------
9 - 4x 3 2
7x - 3(3) - (9 - 4x)(2) = 7(9 - 4x
--------- - ------- = --------
9 - 4x 3 2
7x - 9 - 18 + 8x = 63 - 28
15x - 27 = 63 - 28
15x + 28x = 9
43x = 9
x ≈ 2.09
Ответ: x ≈ 2.09