Question

9/7х-5/12=11/14х+3/4​

Answer 1

Ответ:

Пошаговое объяснение:

9/7х-11/14х=3/4+5/12

18/14х-11/14х=9/12+5/12

7/14х=14/12

1/2х=14/12

Х=14/12*2

Х=14/6=2 1/3

Answer 2

Ответ:

х = 2 1/3

Пошаговое объяснение:

9/7х - 5/12 = 11/14х + 3/4​

9/7х - 11/14х = 3/4 + 5/12

18/14х - 11/14х = 9/12 + 5/12

7/14х = 14/12

1/2х = 7/6

х = 7/6 : 1/2

х = 7/6 * 2/1

х = 14/6 = 7/3

х = 2 1/3

Answer 3

To solve the equation (9/7)x - (5/12) = (11/14)x + 3/4, you'll need to isolate the variable x on one side of the equation. Here's how you can do that:

First, we want to get rid of the fractions. The least common multiple (LCM) of the denominators 7, 12, and 14 is 84. So, we can multiply every term in the equation by 84 to eliminate the fractions:

84 * [(9/7)x] - 84 * (5/12) = 84 * [(11/14)x] + 84 * (3/4)

Now, simplify each term:

(12/7) * 9x - (7/12) * 5 = (6/7) * 11x + (21/4)

Next, we'll group like terms:

(108/7)x - (35/12) = (66/7)x + (21/4)

Now, let's get the x-terms on one side of the equation and the constant terms on the other side:

(108/7)x - (66/7)x = (35/12) + (21/4)

To combine the x-terms on the left side, find a common denominator for the fractions:

[(108/7) - (66/7)]x = (35/12) + (21/4)

Now, subtract the fractions on the left side:

(42/7)x = (35/12) + (21/4)

Simplify further:

(6)x = (35/12) + (63/12)

Now, add the fractions on the right side:

6x = (35 + 63)/12

Combine the numbers:

6x = 98/12

Reduce the fraction on the right side:

6x = 49/6

Now, to solve for x, divide both sides by 6:

x = (49/6) / 6

x = (49/6) * (1/6)

x = 49/36

So, the solution to the equation is:

x = 49/36