Question

44.62/(7,8+0,5х)+26,51=31,11 решите уравнение плиз как можно быстрей

Answer 1

44.62/(7,8+0,5х)+26,51=31,11
44.62/(7,8+0,5х)=31,11-26,51
44.62/(7,8+0,5х)=4,6
7,8+0,5х=44,62:4,6
7,8+0,5х=9,7
0,5х=9,7-7,8
0,5х=1,9
х=1,9:0,5
х=3,8

Answer 2

To solve the equation 44.62/(7.8+0.5x) + 26.51 = 31.11, we can follow these steps:

Step 1: Simplify the equation by combining like terms: - Start by subtracting 26.51 from both sides of the equation: 44.62/(7.8+0.5x) = 31.11 - 26.51 Simplifying the right side gives us: 44.62/(7.8+0.5x) = 4.6

Step 2: Isolate the fraction on one side of the equation: - Multiply both sides of the equation by (7.8+0.5x): 44.62 = 4.6 * (7.8+0.5x)

Step 3: Distribute the multiplication on the right side: - Multiply 4.6 by both terms inside the parentheses: 44.62 = 4.6 * 7.8 + 4.6 * 0.5x Simplifying the right side gives us: 44.62 = 35.88 + 2.3x

Step 4: Isolate the variable term on one side of the equation: - Subtract 35.88 from both sides of the equation: 44.62 - 35.88 = 35.88 + 2.3x - 35.88 Simplifying both sides gives us: 8.74 = 2.3x

Step 5: Solve for x: - Divide both sides of the equation by 2.3: 8.74/2.3 = 2.3x/2.3 Simplifying both sides gives us: 3.8 = x

Therefore, the solution to the equation is x = 3.8.

Please note that this solution is based on the given equation and the steps followed to solve it.