Question

1) 40+2x=3x-15 2) 16x-33=1+13x 3) 23,8-80-24,3y=2 4)95y-4,9=98y-1

Answer 1

Ответ:

1)40+2х=3х-15

2х-3х=-15-40

-х=-55; х=55

2)16х-33=1+13х; 16х-13х=1+33;

3х=34; х=11 1/3

3)23,8-80-24,3у=2

23,8-80-2=24,3у; 24,3у=-58,2

у= -2 96/243; у=-2 32/81

4)95у-4,9=98у-1; 95у-98у=-1+4,9;

-3у=3,9; у=-1,3

Answer 2

Let's solve each of the equations step by step:

1. 40 + 2x = 3x - 15

To solve for x, we need to isolate x on one side of the equation. We can do this by performing various operations to both sides of the equation.

40 + 2x - 2x = 3x - 15 - 2x (subtract 2x from both sides) 40 = x - 15 (simplify)

Now, let's isolate x further:

40 + 15 = x - 15 + 15 (add 15 to both sides) 55 = x

Therefore, the solution to the equation is x = 55.

2. 16x - 33 = 1 + 13x

Following a similar approach, we'll aim to isolate x:

16x - 13x = 1 + 33 (subtract 13x from both sides and add 33 to both sides) 3x = 34

To find the value of x, we divide both sides of the equation by 3:

3x/3 = 34/3 x = 34/3

The solution to the equation is x = 34/3, which can also be expressed as a mixed number, approximately x = 11.33.

3. 23.8 - 80 - 24.3y = 2

First, let's simplify the equation by performing the subtraction:

23.8 - 80 = -56.2

Now, the equation becomes:

-56.2 - 24.3y = 2

Next, let's isolate the term with y:

-24.3y = 2 + 56.2 -24.3y = 58.2

Finally, divide both sides of the equation by -24.3 to solve for y:

y = 58.2 / -24.3

Simplifying the division:

y ≈ -2.394

Therefore, the solution to the equation is y ≈ -2.394.

4. 95y - 4.9 = 98y - 1

First, let's simplify the equation by subtracting 98y from both sides:

95y - 98y - 4.9 = -1

Simplifying further:

-3y - 4.9 = -1

Next, add 4.9 to both sides:

-3y - 4.9 + 4.9 = -1 + 4.9

Simplifying:

-3y = 3.9

To solve for y, divide both sides by -3:

-3y / -3 = 3.9 / -3

Simplifying the division:

y ≈ -1.3

Therefore, the solution to the equation is y ≈ -1.3.