Question

(2/3 + 5/7x) * 21 = 294 1/3x - 2 2/3x = 5

Answer 1

Ответ:

Пошаговое объяснение:

(2/3 + 5/7x) * 21 = 29

2/3+5/7х=29/21

5/7х=29/21-2/3

5/7х=29/21-14/21

5/7х=15/21

Х=15/21:5/7=15/21*7/5

Х=1

4 1/3x - 2 2/3x = 5

1 2/3х=5

Х=5:1 2/3=5*3/5

Х=3

Answer 2

To solve the given equation, we'll follow these steps:

Step 1: Simplify the equation (2/3 + 5/7x) * 21 = 294. Step 2: Solve the equation 1/3x - 2 2/3x = 5.

Let's begin with Step 1:

Step 1: (2/3 + 5/7x) * 21 = 294

To simplify, first, let's distribute the 21 on the left side of the equation:

21 * (2/3) + 21 * (5/7x) = 294

Now, we'll simplify each term:

Step 1.1: 21 * (2/3) = (21 * 2) / 3 = 42 / 3 = 14

Step 1.2: 21 * (5/7x) = 105/7x

Now the equation becomes:

14 + 105/7x = 294

Step 1.3: To get rid of the fraction, we can multiply the entire equation by 7:

7 * 14 + 7 * (105/7x) = 7 * 294

98 + 105x = 2058

Now, let's move on to Step 2:

Step 2: 1/3x - 2 2/3x = 5

First, let's find a common denominator for the fractions, which is 3:

Step 2.1: 1/3x - (8/3)x = 5

Now, we'll combine the x terms:

Step 2.2: (1/3 - 8/3)x = 5

Step 2.3: (-7/3)x = 5

Finally, let's isolate x by dividing both sides by (-7/3):

Step 2.4: x = 5 / (-7/3)

To divide by a fraction, we multiply by its reciprocal:

x = 5 * (-3/7)

x = -15/7

So, the solution to the given system of equations is:

x = -15/7