Question

3 1/9 (1 5/28х-0,3)=1,5-5/6(7-х)

Answer 1

Ответ:

Объяснение:

........

Answer 2

To solve the equation 3 1/9 (1 5/28x - 0.3) = 1.5 - 5/6(7 - x), you'll want to follow these steps:

Step 1: Simplify both sides of the equation.

Let's start by simplifying the left side:

3 1/9 (1 5/28x - 0.3) = 3 1/9 * 1 5/28x - 3 1/9 * 0.3

To multiply mixed numbers, you can first convert them to improper fractions:

= (28/9) * (33/28x) - (28/9) * (3/10)

Now, multiply:

= (924/252x) - (84/90)

Simplify further:

= (154/42x) - (14/15)

Now, let's simplify the right side of the equation:

1.5 - 5/6(7 - x) = 1.5 - (5/6)*(7 - x)

Now distribute the 5/6:

1.5 - (5/6)*7 + (5/6)*x

= 1.5 - (35/6) + (5/6)*x

Now, let's put the equation back together:

(154/42x) - (14/15) = 1.5 - (35/6) + (5/6)*x

Step 2: Get rid of fractions.

To get rid of fractions, you can multiply both sides of the equation by the least common multiple (LCM) of the denominators, which is 30. This will clear the fractions:

30 * [(154/42x) - (14/15)] = 30 * [1.5 - (35/6) + (5/6)*x]

Now, simplify both sides:

(30/1) * [(154/42x) - (14/15)] = (30/1) * [1.5 - (35/6) + (5/6)*x]

Now, the fractions are gone:

(154/42x * 30) - (14/15 * 30) = 45 - (35*5) + 5x

Step 3: Continue to simplify.

Now, perform the multiplications:

(5 * 154x) - (2 * 14) = 45 - 175 + 5x

770x - 28 = 45 - 175 + 5x

Step 4: Isolate the x terms.

Subtract 5x from both sides of the equation:

770x - 5x - 28 = 45 - 175

Combine like terms:

765x - 28 = -130

Step 5: Solve for x.

Add 28 to both sides:

765x = -130 + 28

765x = -102

Now, divide both sides by 765 to isolate x:

x = (-102) / 765

x = -34 / 255

Now, simplify the fraction:

x = -2/15

So, the solution to the equation is x = -2/15.