Question

1)17:(x-8)+19:(y+16) 2)4:(39x+19)-x(275+y)найдите значение переменной,при котором выражение имеет смысл

Answer 1

Ответ:

в первом ответ

17у+120+19х

_____________

ху+16х-8у-128

Пошаговое объяснение:

Сначала надо записать деление в виде дроби 17:(х-8)+19:(у+16)

дальше записать все числители над общим знаменателем

17                      19

_________ + ________

х-8                   у+16

дальше раскрыть модуль

17(у+16)+19(х-8)

______________

(х-8)*(у+16)

затем вычитать числа

17у+272+19х-152

__________________

ху+16х-8у-128

И вот этот ответ 17у+120+19х

__________________

ху+16х-8у-128

4

___________ -275х-ху

39х+19

4-275х*(39х+19)-ху*(39х+19)

__________________________

39х+19

4-10725²-5225х-5225х-39х²у-19ху

_____________________________

39х+19

Answer 2

To find the value of the variables that make the expressions meaningful, we need to identify the restrictions or conditions that would lead to a valid result. Let's analyze each expression separately:

1. 17:(x-8) + 19:(y+16)

In this expression, we have two fractions. To ensure that the expression is meaningful, we need to make sure that the denominators (x-8) and (y+16) are not equal to zero. Division by zero is undefined in mathematics. So, we should set the denominators to non-zero values:

x - 8 ≠ 0 (1) y + 16 ≠ 0 (2)

From (1) we can solve for x:

x ≠ 8

From (2) we can solve for y:

y ≠ -16

So, for the expression to be meaningful, the values of x and y must satisfy the conditions: x ≠ 8 and y ≠ -16.

2. 4:(39x+19) - x(275+y)

Here, we have another fraction and an expression involving multiplication. To ensure the expression is meaningful, we need to avoid division by zero and ensure that there are no other operations that result in undefined values.

First, let's consider the fraction: 4:(39x+19)

For the expression to be meaningful, the denominator (39x+19) must not be equal to zero:

39x + 19 ≠ 0

Now, let's consider the multiplication term: x(275+y)

For the expression to be meaningful, we need to avoid any operations that would lead to undefined results. In this case, there are no denominators or square roots, so the only thing to be concerned about is potential division by zero in subsequent calculations. So, we need to ensure that x is not equal to zero:

x ≠ 0

Now, we need to find values of x and y that satisfy all the conditions:

1. 39x + 19 ≠ 0 (3)
2. x ≠ 0 (4)

From (3), we can solve for x:

39x ≠ -19 x ≠ -19/39

Now, we know that x should not equal -19/39, and x should not equal 0 (as per (4)). So, we have two conditions:

x ≠ -19/39 x ≠ 0

For the expression to be meaningful, the values of x and y must satisfy these conditions.

Remember, the goal here is not to find specific values for x and y but to determine the conditions that make the expressions meaningful. If you have specific values or an equation where you want to find the values of x and y, please provide more context or the complete equation.