Question

1) 3y-25-(11-5y)=17; 2) 5y-3-(3+4y)=8; 3) 23-(12x - 23) = 8x + 20 4) 23x - 45= 13x -(5x-6) срочно надо

Answer 1

Ответ:

$6\frac{5}{8}, 14, \frac{3}{20} , 3\frac{2}{5} .$

Пошаговое объяснение:

$3y-25-(11-5y)=17\\3y-25-11+5y=17\\3y+5y=17+25+11\\8y=53\\y=53:8\\y=6\frac{5}{8} .$  $5y-3-(3+4y)=8\\5y-3-3-4y=8\\5y-4y=8+3+3\\y=11+3\\y=14.$  $23-(12x-23)=8x+20\\23-12x+23=8x+20\\23-20=8x+12x\\3=20x\\x=\frac{3}{20} .$

$23x-45=13x-(5x-6)\\23x-45=13x-5x+6\\23x-13x+5x=6+45\\15x=51\\x=51:15\\x=3\frac{6}{15} \\x=3\frac{2}{5}$

Answer 2

1) 3y - 25 - (11 - 5y) = 17

To solve this equation, we can start by simplifying the expression inside the parentheses:

11 - 5y = 11 + (-5y) = 11 - 5y

Now, let's substitute this simplified expression back into the original equation:

3y - 25 - (11 - 5y) = 17

3y - 25 - 11 + 5y = 17

Combine like terms:

(3y + 5y) - 25 - 11 = 17

8y - 36 = 17

Next, let's isolate the variable y by moving the constant term to the other side of the equation:

8y = 17 + 36

8y = 53

Finally, divide both sides of the equation by 8 to solve for y:

y = 53/8

Therefore, the solution to the equation 3y - 25 - (11 - 5y) = 17 is y = 53/8.

2) 5y - 3 - (3 + 4y) = 8

Similar to the previous equation, let's simplify the expression inside the parentheses:

3 + 4y = 3 + (4y) = 3 + 4y

Now, substitute this simplified expression back into the original equation:

5y - 3 - (3 + 4y) = 8

5y - 3 - 3 - 4y = 8

Combine like terms:

(5y - 4y) - 3 - 3 = 8

y - 6 = 8

Next, isolate the variable y by moving the constant term to the other side of the equation:

y = 8 + 6

y = 14

Therefore, the solution to the equation 5y - 3 - (3 + 4y) = 8 is y = 14.

3) 23 - (12x + 23) = 8x + 20

Let's simplify the expression inside the parentheses:

12x + 23 = 12x + 23

Now, substitute this simplified expression back into the original equation:

23 - (12x + 23) = 8x + 20

23 - 12x - 23 = 8x + 20

Combine like terms:

-12x - 8x = 20 - 23

-20x = -3

Next, isolate the variable x by dividing both sides of the equation by -20:

x = (-3)/(-20)

Simplifying the fraction:

x = 3/20

Therefore, the solution to the equation 23 - (12x + 23) = 8x + 20 is x = 3/20.

4) 23x - 45 = 13x - (5x - 6)

Let's simplify the expression inside the parentheses:

5x - 6 = 5x + (-6) = 5x - 6

Now, substitute this simplified expression back into the original equation:

23x - 45 = 13x - (5x - 6)

23x - 45 = 13x - 5x + 6

Combine like terms:

23x - 13x + 5x = 6 + 45

15x = 51

Next, isolate the variable x by dividing both sides of the equation by 15:

x = 51/15

Simplifying the fraction:

x = 17/5

Therefore, the solution to the equation 23x - 45 = 13x - (5x - 6) is x = 17/5.