Question

1/5x+2=3/58(5-3x)=6(2-4x)+7

Answer 1

1) 1/5x=3/5-2

  1/5x=3/5-10/5

 1/5x=- 7/5

x = - 7/35 = - 1/5

Ответ х= -1.5

2) 8(5-3x)=6(2-4x)+7

  40-24x=12-24x+7

x - любое из данного промежутка

Answer 2

To solve the given equations, let's take them one at a time:

Equation 1: 1/5x + 2 = 3/58

To eliminate the fractions, we can multiply all terms by the least common denominator (LCD), which is 5 * 58 = 290.

Multiply both sides of the equation by 290:

290 * (1/5x) + 290 * 2 = 290 * (3/58)

58x + 580 = 15 * 3x

58x + 580 = 45x

Rearrange the equation by subtracting 45x from both sides:

58x - 45x + 580 = 0

13x + 580 = 0

Subtract 580 from both sides:

13x = -580

Divide both sides by 13:

x = -580/13

Therefore, the solution to Equation 1 is: x = -44.62 (rounded to two decimal places)

Now let's move on to Equation 2: 5-3x = 6(2-4x) + 7

First, simplify the right side of the equation:

5 - 3x = 12 - 24x + 7

Combine like terms:

-3x + 24x = 12 + 7 - 5

21x = 14

Divide both sides by 21:

x = 14/21

Simplify the fraction:

x = 2/3

Therefore, the solution to Equation 2 is: x = 2/3

In summary, the solutions to the given equations are: Equation 1: x = -44.62 (rounded to two decimal places) Equation 2: x = 2/3