Question

1) х - (-84,6) = -15,4 2) х - (-4 1/3) = 5 2/3 3) х ( -8 5/6) = 1 1/6 4) х - (-48 7/13) = -51 6/13

Answer 1

1. x-(-84.6)=-15.4

x+84.6=-15.4

когда перед скобками есть знак "-", знак каждого члена в скобках нужно изменить на противоположный

перенесём постоянную в правую часть и сменим знак:

x=-15.4-84.6

вычислим разность, получаем:

x=-100

2. x-(-4 1/3)=5 2/3

x+4 1/3=17/3

x+13/3=17/3

x=17/3-13/3

x=4/3

3. x(-8 5/6)=11/6

x(-53/6)=11/6

-53/6x=11/6

умножим обе части равенства на -6/53:

x=-11/53

4. x-(-48 7/13)=-51 6/13

z+48 7/13=-669/13

x+631/13=-669/13

x=-669/13-631/13

x=-100

Answer 2

To solve these equations, let's simplify the expressions and solve for x step by step:

1. x - (-84.6) = -15.4

To remove the double negative sign, we can simplify this equation to: x + 84.6 = -15.4

Subtracting 84.6 from both sides of the equation: x = -15.4 - 84.6 x = -100

Therefore, the solution is x = -100.

2. x - (-4 1/3) = 5 2/3

We can simplify this equation by changing the mixed numbers into improper fractions: x + 4 1/3 = 5 2/3 x + 13/3 = 17/3

Subtracting 13/3 from both sides of the equation: x = 17/3 - 13/3 x = 4/3

Therefore, the solution is x = 4/3.

3. x - (-8 5/6) = 1 1/6

Converting the mixed numbers to improper fractions: x + 8 5/6 = 1 1/6 x + 53/6 = 7/6

Subtracting 53/6 from both sides of the equation: x = 7/6 - 53/6 x = -46/6

Simplifying further: x = -23/3

Therefore, the solution is x = -23/3.

4. x - (-48 7/13) = -51 6/13

Converting mixed numbers to improper fractions: x + 48 7/13 = -51 6/13 x + 635/13 = -672/13

Subtracting 635/13 from both sides of the equation: x = -672/13 - 635/13 x = -1307/13

Therefore, the solution is x = -1307/13.