Математика 6 класс гдз

Упражнение 1512

Условие Виленкин 6 кл:

Решите уравнение:
1) 5 • (x - 7) = 3 • (х - 4) - 27;
2) 3x + 2 • (2х - 3) = 8 - 7 • (х - 2);
3) 4 • (x - 3) - 16 = 5 • (х - 5);
4) 3 • (2х - 5) + 4х = 5 • (х - 3) + 27.

 

ГДЗ Ответ:

1) 5 • (x - 7) = 3 • (х - 4) - 27 => 5x - 35 = 3x - 12 - 27 => 5x - 3x =
= 35 - 12 - 27 => 2x = -4 => x = -2;

2) 3x + 2 • (2х - 3) = 8 - 7 • (х - 2) => 7x - 6 = 22 - 7х => 7x + 7x =
= 22 + 6 => 14х = 28 => х = 2;

3) 4 • (x - 3) - 16 = 5 • (х - 5) => 4х - 5х = -25 + 28 => х = -3;
4) 3 • (2х - 5) + 4х = 5 • (х - 3) + 27 => 6х - 15 + 4х = 5x - 15 + 27 => 10x - 15 =
= 5x + 12 => 10x - 5x = 12 + 15 => 5х = 27 => х = 27/5 = 5 2/5.

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