Question

у+6=3у-8; 2-4х=7х-10; 3-1/2а=2/6а-1/2; 4,1-0,5у=2,6-0,2у; 3/8+1/2х=х-1/4; 3,2+а=0,8-а; 3/8х=5/7х; 2у-0,6у=0:

Answer 1

1)Y+6=3y-8

Y-3y=-8-6

-2y=-14

Y=-14:(-2)

Y=7

2)2-4x=7x-10

-4x-7x=-10-2

-11x=-12

X=-12:(-11)

X=одна целая одна одиннадцатая.

Answer 2

To solve these equations, we'll use basic algebraic operations to isolate the variable on one side of the equation.

1. у+6=3у-8

We'll start by moving all the terms containing y to one side of the equation and all the constant terms to the other side:

у - 3у = -8 - 6 -2y = -14

Divide both sides by -2:

y = 7

2. 2-4х=7х-10

We'll start by moving all the terms containing x to one side of the equation and all the constant terms to the other side:

-4x - 7x = -10 - 2 -11x = -12

Divide both sides by -11:

x = 12/11

3. 3-1/2а=2/6а-1/2

We'll start by multiplying both sides by the least common multiple of the denominators, which is 6:

18 - 3а = 2а - 3

Move all the terms containing a to one side of the equation and all the constant terms to the other side:

18 + 3 = 2а + 3а 21 = 5а

Divide both sides by 5:

а = 21/5

4. 4,1-0,5у=2,6-0,2у

We'll start by moving all the terms containing y to one side of the equation and all the constant terms to the other side:

0.5у - 0.2у = 4.1 - 2.6 0.3у = 1.5

Divide both sides by 0.3:

y = 5

5. 3/8+1/2х=х-1/4

We'll start by multiplying both sides by the least common multiple of the denominators, which is 8:

3 + 4х = 8х - 2

Move all the terms containing x to one side of the equation and all the constant terms to the other side:

4х - 8х = -3 - 2 -4х = -5

Divide both sides by -4:

х = 5/4

6. 3,2+а=0,8-а

We'll start by moving all the terms containing a to one side of the equation and all the constant terms to the other side:

а + а = 0.8 - 3.2 2а = -2.4

Divide both sides by 2:

а = -1.2

7. 3/8х=5/7х

We'll start by multiplying both sides by the least common multiple of the denominators, which is 56:

21х = 40х

Subtract 21х from both sides:

19х = 0

Divide both sides by 19:

х = 0

8. 2у-0,6у=0

Combine like terms on the left-hand side:

1.4у = 0

Divide both sides by 1.4:

у = 0

So the solutions to the equations are: y=7, x=12/11, a=21/5, y=5, x=5/4, a=-1.2, x=0, y=0.