Question

1) 5-3y=-2y 2) 5y+2=-6y6 3) 0,5x+3=0,2x-3,9 4) -2y+3(6-5y)=18

Answer 1

Відповідь:1)у=5; 3)х=-23; 4)у=0

Покрокове пояснення:
1)5-3у=-2у
-3у+2у=-5
-у=-5
у=5
3)0,5х+3=0,2х-3,9
0,5х-0,2х=-3,9-3
0,3х=-6,9
х=-6,9:0,3
х=-23
4)-2у+3(6-5у)=18
-2у+18-15у=18
-2у-15у=18-18
-17у=0
у=0:(-17)
у=0

Answer 2

Let's solve each equation step by step:

1. 5-3y=-2y

First, let's isolate the variable y by moving all terms with y to one side:

5 - 3y + 2y = 0

Simplifying the equation:

5 - y = 0

Next, we'll isolate y by subtracting 5 from both sides:

-y = -5

To solve for y, we'll multiply both sides by -1 (to change the sign):

y = 5

So the solution for this equation is y = 5.

2. 5y + 2 = -6y + 6

First, let's move all terms with y to one side:

5y + 6y = 6 - 2

Combining like terms:

11y = 4

To solve for y, we'll divide both sides by 11:

y = 4/11

So the solution for this equation is y = 4/11.

3. 0.5x + 3 = 0.2x - 3.9

First, let's get rid of the decimals by multiplying the entire equation by 10 (to clear the decimal points):

10 * (0.5x + 3) = 10 * (0.2x - 3.9)

Simplifying the equation:

5x + 30 = 2x - 39

Next, let's move all terms with x to one side:

5x - 2x = -39 - 30

Combining like terms:

3x = -69

To solve for x, we'll divide both sides by 3:

x = -69/3

Simplifying the fraction:

x = -23

So the solution for this equation is x = -23.

4. -2y + 3(6 - 5y) = 18

First, let's simplify the expression inside the parentheses:

-2y + 3(6) - 3(5y) = 18

Simplifying further:

-2y + 18 - 15y = 18

Next, let's move all terms with y to one side:

-2y - 15y = 18 - 18

Combining like terms:

-17y = 0

To solve for y, we'll divide both sides by -17:

y = 0

So the solution for this equation is y = 0.

In summary, the solutions for the given equations are:

1. y = 5
2. y = 4/11
3. x = -23
4. y = 0