Question

1)х-2/4-1/2=х+7/6 2)2(3х-1)/5=4-х+2/2

Answer 1

1)х-2/4-1/2=х+7/6
-2/4-1/2=7/6
-1=7/6
x - нету решений.

2(3х-1)/5=4-х+2/2
2(3x-1)/5=4-x+1
6x-2/5=5-x
6x-2=25-5x
6x+5x=25+2
11x=27
x=27/11 или 2 5/11

Answer 2

Let's solve the given equations step by step:

1. х - 2/4 - 1/2 = х + 7/6

Step 1: Find a common denominator for the fractions on both sides of the equation, which is 4 for the left side and 6 for the right side.

Step 2: Convert the fractions using the common denominators:

(6 * х - 3 - 2) / 12 = (4 * х + 7) / 6

Step 3: Simplify the equation:

(6х - 5) / 12 = (4х + 7) / 6

Step 4: Eliminate the fractions by multiplying both sides by 12:

12 * (6х - 5) / 12 = 12 * (4х + 7) / 6

Simplify:

6х - 5 = 2(4х + 7)

Step 5: Distribute on the right side:

6х - 5 = 8х + 14

Step 6: Move the variables to one side and the constants to the other side:

6х - 8х = 14 + 5

-2х = 19

Step 7: Solve for х by dividing both sides by -2:

х = 19 / (-2)

х = -19/2 or -9.5

So the solution for the equation is х = -9.5.

2. 2(3х - 1) / 5 = 4 - х + 2 / 2

Step 1: Remove the fraction on the right side by multiplying everything by 2:

2 * 2(3х - 1) / 5 = 2 * (4 - х + 2 / 2)

Simplify:

2(3х - 1) / 5 = 4 - х + 2

Step 2: Distribute the 2 on the left side:

(6х - 2) / 5 = 4 - х + 2

Step 3: Get rid of the fraction by multiplying both sides by 5:

5 * (6х - 2) / 5 = 5 * (4 - х + 2)

Simplify:

6х - 2 = 5(4 - х + 2)

Step 4: Distribute on the right side:

6х - 2 = 20 - 5х + 10

Step 5: Move the variables to one side and the constants to the other side:

6х + 5х = 20 + 10 + 2

11х = 32

Step 6: Solve for х by dividing both sides by 11:

х = 32 / 11

So the solution for the equation is х ≈ 2.909 (rounded to three decimal places).