Question

1/4:(3/4х-1/2)+2/5=1/2 решите уравнение

Answer 1

Ответ:

Пошаговое объяснение:

1/4:(3/4х-1/2)=1\2-2\5

1/4:(3/4х-1/2)=5\10-4\10

1/4:(3/4х-1/2)=1\10

3/4х-1/2=1\4:1\10

3/4х-1/2=1\4*10

3/4х-1/2=5\2

3\4х=5\2+1\2

3\4х=6\2=3

х=3:3\4

х=3*4\3

х=4

Answer 2

To solve the equation, let's follow these steps:

1. Clear the fractions by finding a common denominator.
2. Simplify the equation.
3. Isolate the variable on one side of the equation.
4. Solve for the variable.

Step 1: Clear the fractions by finding a common denominator. The common denominator for 4, 5, and 2 is 20.

Rewrite the equation with the common denominator:

(20/4) * (3/4x - 1/2) + (20/5) = (20/2)

Step 2: Simplify the equation. Now, distribute and simplify each term:

(5/1) * (3/4x - 1/2) + (4) = (10)

Step 3: Isolate the variable on one side of the equation. First, distribute the (5/1) on the left side:

(15/4x - 5/2) + 4 = 10

Next, move the constant term (4) from the left side to the right side by subtracting it:

(15/4x - 5/2) = 10 - 4 (15/4x - 5/2) = 6

Step 4: Solve for the variable. To isolate the term with the variable (15/4x), we will get rid of the constant term (-5/2) on the left side by adding it to both sides:

(15/4x) = 6 + (5/2) (15/4x) = 12/2 + 5/2 (15/4x) = 17/2

Now, to solve for x, we will multiply both sides by the reciprocal of (15/4), which is (4/15):

(4/15) * (15/4x) = (4/15) * (17/2) x = (4/15) * (17/2) x = 68/30 x = 34/15

So, the solution to the equation is x = 34/15.