Question

10) 8/x = 6/5 11) 7/4 = x/2 12) x+3 /12 = 4/3

Answer 1

Ответ:

Пошаговое объяснение:

10) 8/x = 6/5

     6х= 8 *5

     6х= 40

     х= 6 2/3

11) 7/4 = x/2

    4х= 7 * 2

    4х= 14

     х= 3 1/2

12) x+3 /12 = 4/3

   х= 4/3 - 3/12

   х= 16/12 - 3/12

   х = 13/12

   х= 1 1/12

 

Answer 2

I can help you solve these rational equations. Here are the steps and the answers:

10) 8/x = 6/5

- To solve this equation, we need to find a common denominator for both fractions. The least common denominator is 5x. - Multiply both sides of the equation by 5x to eliminate the fractions. We get:

8/x * 5x = 6/5 * 5x

- Simplify the equation by canceling out the common factors. We get:

8 * 5 = 6 * x

- Solve for x by dividing both sides by 6. We get:

x = 8 * 5 / 6

- Simplify the fraction by reducing it to lowest terms. We get:

x = 20/3

- This is the final answer.

11) 7/4 = x/2

- To solve this equation, we need to find a common denominator for both fractions. The least common denominator is 4. - Multiply both sides of the equation by 4 to eliminate the fractions. We get:

7/4 * 4 = x/2 * 4

- Simplify the equation by canceling out the common factors. We get:

7 = 2 * x

- Solve for x by dividing both sides by 2. We get:

x = 7/2

- This is the final answer.

12) x + 3 / 12 = 4/3

- To solve this equation, we need to isolate x on one side of the equation. We can do this by subtracting 3/12 from both sides. We get:

x + 3 / 12 - 3 / 12 = 4/3 - 3 / 12

- Simplify the equation by finding a common denominator for the fractions on the right side. The least common denominator is 12. We get:

x = 4/3 * 12 / 12 - 3 / 12

- Simplify the equation by multiplying and subtracting the fractions. We get:

x = 16/12 - 3/12

- Simplify the equation by reducing the fraction to lowest terms. We get:

x = 13/12

- This is the final answer.