Question

Решите 5 уравнений! 1) 48=11-(9a+2) 2) 13-(5x+11)=6x 3) 12=(7x-9)-(11-x) 4) 11x+103=1+(12x-31) 5) (4+3)-(10x+11)=7+(13-4x)

Answer 1

1) 48 = 11 - (9a + 2),

   48 = 11 - 9а - 2.

   48 = 9 - 9а,

   9а = 9 - 48,

   9а = -39,

   а = -39/9 = -13/3 = -4 целых 1/3;

2) 13 - (5x + 11) = 6x,

    13 - 5х - 11 = 6х,

   2 - 5х = 6х,

   -5х - 6х = -2,

   -11х = -2.

   х = 2/11;

3) 12 = (7x - 9) - (11 - x),

     12 = 7х - 9 - 11 + х,

    12 = 8х - 20,

    -8х = -20 - 12,

    -8х = -32,

    х = 4;

4) 11x + 103 = 1 + (12x - 31),

    11х + 103 = 1 + 12х - 31,

   11х + 103 = 12х - 30,

    11х - 12х = -30 - 103,

    -х = -133,

    х = 133;

5) видимо, в 1-й скобке пропущена переменная х.

    (4 + 3) - (10x + 11) = 7 + (13 - 4x),

    7 - 10х - 11 = 7 + 13 - 4х,

    -10х - 4 = -4х + 20,

    -10х + 4х = 20 + 4,

    -6х = 24,

    х = - 4.

Answer 2

1. 48 = 11 - (9a + 2) Solving for a: 48 = 11 - 9a - 2 48 = 9 - 9a 9a = 9 - 48 9a = -39 a = -39/9 a = -13/3

2. 13 - (5x + 11) = 6x Solving for x: 13 - 5x - 11 = 6x 2 - 5x = 6x 2 = 6x + 5x 2 = 11x x = 2/11

3. 12 = (7x - 9) - (11 - x) Solving for x: 12 = 7x - 9 - 11 + x 12 = 8x - 20 8x = 12 + 20 8x = 32 x = 32/8 x = 4

4. 11x + 103 = 1 + (12x - 31) Solving for x: 11x + 103 = 1 + 12x - 31 11x + 103 = 12x - 30 11x - 12x = -30 - 103 -x = -133 x = 133

5. (4 + 3) - (10x + 11) = 7 + (13 - 4x) Simplifying: 7 - (10x + 11) = 7 + 13 - 4x 7 - 10x - 11 = 20 - 4x -10x - 4x = 20 - 7 + 11 -14x = 24 x = 24/-14 x = -12/7