Question

9,2а+36,9=4,8(12,6-а)+10,72

Answer 1

9,2а+36,9=4,8(12,6-а)+10,72
9,2а+36,9=60,48-4,8а+10,72
9,2а+4,8а=60,48+10,72-36,9
14а=34,3  :14
а= 2,45 

Answer 2

To solve the equation 9.2a + 36.9 = 4.8(12.6 - a) + 10.72, we can follow these steps:

1. Distribute the 4.8 on the right side of the equation:

   9.2a + 36.9 = 4.8 * 12.6 - 4.8a + 10.72

   Simplify the right side:

   9.2a + 36.9 = 60.48 - 4.8a + 10.72

2. Combine like terms:

   9.2a + 36.9 = 71.2 - 4.8a

3. Add 4.8a to both sides to isolate the variable terms:

   9.2a + 4.8a + 36.9 = 71.2

   Combine the variable terms:

   14a + 36.9 = 71.2

4. Subtract 36.9 from both sides:

   14a = 71.2 - 36.9

   Simplify the right side:

   14a = 34.3

5. Divide both sides by 14 to solve for a:

   a = 34.3 / 14

   Evaluate the division:

   a ≈ 2.45

Therefore, the solution to the equation is approximately a = 2.45.