Question

1)7(x+3)-2(x-5)=8 2)5+3(2y-1)=2(y-3) 3)-x-5,2=12-2(x+0,6)-10 решите плиз в полном решении!!))

Answer 1

1)7x+21-2x+10=8
5x=-23
x=-23:5
x=-4,6
2)5+6y-3=2y-6
6y-2y=-6-2
4y=-8
y=-2
3)-x-5,2=12-2x-1,2-10
-x+2x=0,8+5,2
x=6.

Answer 2

1. Let's solve the equation step by step:

7(x + 3) - 2(x - 5) = 8

First, distribute the terms inside the parentheses:

7x + 21 - 2x + 10 = 8

Combine like terms:

7x - 2x + 21 + 10 = 8

Simplify:

5x + 31 = 8

Next, isolate the variable term by subtracting 31 from both sides:

5x + 31 - 31 = 8 - 31

Simplify:

5x = -23

Finally, divide both sides by 5 to solve for x:

5x/5 = -23/5

Simplify:

x = -23/5

Therefore, the solution to the equation is x = -23/5.

2. Let's solve the equation step by step:

5 + 3(2y - 1) = 2(y - 3)

First, distribute the terms inside the parentheses:

5 + 6y - 3 = 2y - 6

Combine like terms:

6y + 2 = 2y - 6

Next, isolate the variable term by subtracting 2y from both sides:

6y - 2y + 2 = 2y - 2y - 6

Simplify:

4y + 2 = -6

Now, subtract 2 from both sides:

4y + 2 - 2 = -6 - 2

Simplify:

4y = -8

Finally, divide both sides by 4 to solve for y:

4y/4 = -8/4

Simplify:

y = -2

Therefore, the solution to the equation is y = -2.

3. Let's solve the equation step by step:

-x - 5,2 = 12 - 2(x + 0,6) - 10

To simplify, let's remove the comma in the expression "5,2" and "0,6" and rewrite them as decimal numbers:

-x - 5.2 = 12 - 2(x + 0.6) - 10

Now, distribute the -2 to the terms inside the parentheses:

-x - 5.2 = 12 - 2x - 1.2 - 10

Combine like terms:

-x - 5.2 = -2x + 0.8 - 10

Next, combine the constants on the right side:

-x - 5.2 = -2x - 9.2

To eliminate the negative sign in front of -2x, we can multiply the entire equation by -1:

(-1)(-x - 5.2) = (-1)(-2x - 9.2)

Simplify:

x + 5.2 = 2x + 9.2

Now, subtract x from both sides:

x + 5.2 - x = 2x + 9.2 - x

Simplify:

5.2 = x + 9.2

Subtract 9.2 from both sides:

5.2 - 9.2 = x + 9.2 - 9.2

Simplify:

-4 = x

Therefore, the solution to the equation is x = -4.