1).|у+1|-7=4 2) 2|*|+7,4=-|х|+19,4

Решим уравнения:

1) |у + 1| - 7 = 4;

{ y + 1 - 7 = 4;

- (y + 1) - 7 = 4;

Раскроем скобки.

{ y - 6 = 4;

-y - 1 - 7 = 4;

{ y - 6 = 4;

-y - 8 = 4;

{ y = 4 + 6;

-y = 4 + 8;

{ y = 10;

-y = 12;

{ y = 10;

y = - 12.

2) 2 * |x| + 7,4 = - |х| + 19,4;

2 * |x| = - |х| + 19,4 - 7.4;

2 * |x| = - |х| + 12;

{ 2 * x = - |х| + 12;

-2 * x = - |х| + 12;

{ 2 * x = - x + 12;

2 * x = x + 12;

-2 * x = - x + 12;

-2 * x = x + 12;

{ 2 * x + x = 12;

2 * x - x = 12;

-2 * x + x = 12;

-2 * x - x = 12;

{ x = 12/3;

x = 12/1;

x = - 12/1;

x = - 12/3;

{ x = 4;

x = 12;

x = - 12;

x = - 4.