Question

1)(8х-3)-(3х-4)=-272)-0,9(6х+2)=3,63)х/4-х/16=3/8​

Answer 1

Відповідь:

1) х=-5,6

2)х=-1

3) х=2

Покрокове пояснення:

1. 8х-3-3х+4=-27

8х-3х=-27-4+3

5х=-28

х=-5,6

2. -5,4х-1,8=3,6

-5,4х=5,4

х=-1

3. 4х-х=6

3х=6

х=2

Answer 2

Let's solve each equation step by step:

1. (8x - 3) - (3x - 4) = -27

First, distribute the negative sign in front of the parentheses:

8x - 3 - 3x + 4 = -27

Combine like terms:

(8x - 3x) + (4 + 3) = -27

5x + 7 = -27

Now, isolate x by moving 7 to the other side of the equation:

5x = -27 - 7

5x = -34

Divide both sides by 5 to solve for x:

x = -34/5

Therefore, the solution for the equation is x = -34/5.

2. -0.9(6x + 2) = 3.6

Distribute -0.9 across the parentheses:

-0.9 * 6x - 0.9 * 2 = 3.6

-5.4x - 1.8 = 3.6

Now, isolate x by moving -1.8 to the other side of the equation:

-5.4x = 3.6 + 1.8

-5.4x = 5.4

Divide both sides by -5.4 to solve for x:

x = 5.4 / -5.4

x = -1

So, the solution for the equation is x = -1.

3. x/4 - x/16 = 3/8

To simplify the equation, find a common denominator for the fractions. The common denominator is 16:

(4x - x) / 16 = 3/8

Combine like terms:

3x / 16 = 3/8

Now, cross-multiply:

8 * 3x = 3 * 16

24x = 48

Divide both sides by 24 to solve for x:

x = 48 / 24

x = 2

Therefore, the solution for the equation is x = 2.

To summarize the solutions:

1. x = -34/5
2. x = -1
3. x = 2