Question

(55 - x) + 63 = 100 5- (16 - y) = 40 160 - (45 + x) = 105 (59 - c) : 3 = 12​

Answer 1

Решим по очереди каждое уравнение:

(55 - x) + 63 = 100

Сначала вычтем 63 из обеих частей:

55 - x = 37

Теперь вычтем 55 из обеих частей:

-x = -18

Избавимся от отрицательного знака, поменяв знаки обеих частей:

x = 18

Ответ: x = 18.

5 - (16 - y) = 40

Сначала вычтем 16 из скобок:

5 - 16 + y = 40

Вычтем 5 из обеих частей:

-11 + y = 40

Прибавим 11 к обеим частям:

y = 51

Ответ: y = 51.

160 - (45 + x) = 105

Сначала вычтем 45 из скобок:

160 - 45 - x = 105

Сократим числа справа и слева:

115 - x = 105

Вычтем 115 из обеих частей:

-x = -10

Избавимся от отрицательного знака, поменяв знаки обеих частей:

x = 10

Ответ: x = 10.

(59 - c) : 3 = 12

Умножим обе части уравнения на 3:

59 - c = 36

Вычтем 59 из обеих частей:

-c = -23

Избавимся от отрицательного знака, поменяв знаки обеих частей:

c = 23

Ответ: c = 23.

Answer 2

Let's solve each equation step by step:

1. (55 - x) + 63 = 100

We can start by simplifying the equation:

55 - x + 63 = 100

Next, combine like terms:

118 - x = 100

Now, isolate the variable x by subtracting 118 from both sides:

• x = 100 - 118

Simplify the right side:

• x = -18

To solve for x, multiply both sides of the equation by -1 to isolate the variable:

x = -(-18)

Simplifying further:

x = 18

So the solution to the first equation is x = 18.

2. 5 - (16 - y) = 40

Let's simplify the equation:

5 - 16 + y = 40

Combine like terms:

-11 + y = 40

Next, isolate the variable y by adding 11 to both sides:

y = 40 + 11

Simplifying the right side:

y = 51

The solution to the second equation is y = 51.

3. 160 - (45 + x) = 105

We'll simplify the equation:

160 - 45 - x = 105

Combine like terms:

115 - x = 105

To isolate the variable x, subtract 115 from both sides:

• x = 105 - 115

Simplifying the right side:

• x = -10

Multiply both sides by -1 to isolate x:

x = -(-10)

Simplifying further:

x = 10

The solution to the third equation is x = 10.

4. (59 - c) : 3 = 12

We can solve this equation by multiplying both sides by 3 to eliminate the division:

3 * [(59 - c) : 3] = 3 * 12

Simplifying:

59 - c = 36

Now, isolate the variable c by subtracting 59 from both sides:

• c = 36 - 59

Simplifying the right side:

• c = -23

Multiply both sides by -1 to isolate c:

c = -(-23)

Simplifying further:

c = 23

The solution to the fourth equation is c = 23.

So, the solutions to the given equations are: x = 18 y = 51 x = 10 c = 23