Question

1) -1,1у+7=-3у-10 2) -3х+5х=9х-16х 3) 9= -6+8+10х 4) 5х= -7 + 12х +4 5) 2х-14х=-5+19х

Answer 1

Пошаговое объяснение:

1.

Переносим всё c переменной в левую часть, а числа в правую.

-1,1y + 3y = -10 - 7

Приводим подобные

1,9y = -17

Делим обе части на 1,9.

y = -17/1,9

y = -170/19

Выделим целую часть

y = -8$\frac{18}{19}$

2.

Аналогично

2x + 7x = 0

9x = 0

Делим обе части на 9

x = 0

3.

-10x = 2 - 9

-10x = -7

x = $\frac{7}{10}$

4.

-7x = -3

x = $\frac{3}{7}$

5.

-12x - 19x = -5

-31x = -5

x = $\frac{5}{31}$

Answer 2

To solve these equations, we'll perform the necessary operations to isolate the variable (x or y) on one side of the equation.

1. -1 + 1y + 7 = -3y - 10

Combine the y terms on one side:

1y + 6 = -3y - 10

Add 3y to both sides:

4y + 6 = -10

Subtract 6 from both sides:

4y = -16

Divide by 4 to isolate y:

y = -16 / 4

y = -4

So the solution to the first equation is y = -4.

2. -3x + 5x = 9x - 16x

Combine the x terms on one side:

2x = -7x

Add 7x to both sides:

2x + 7x = 0

Combine like terms:

9x = 0

Divide by 9 to isolate x:

x = 0

So the solution to the second equation is x = 0.

3. 9 = -6 + 8 + 10x

Combine the numbers on the right side:

9 = 2 + 10x

Subtract 2 from both sides:

9 - 2 = 10x

7 = 10x

Divide by 10 to isolate x:

x = 7 / 10

x = 0.7

So the solution to the third equation is x = 0.7.

4. 5x = -7 + 12x + 4

Combine the x terms on one side:

5x - 12x = -7 + 4

-7x = -3

Divide by -7 to isolate x:

x = -3 / -7

x = 3/7

So the solution to the fourth equation is x = 3/7.

5. 2x - 14x = -5 + 19x

Combine the x terms on one side:

-12x = -5 + 19x

Subtract 19x from both sides:

-12x - 19x = -5

-31x = -5

Divide by -31 to isolate x:

x = -5 / -31

x = 5/31

So the solution to the fifth equation is x = 5/31.