Question

1) 4,75-(x-1/12)=1/32) 53:(4,248-1,56x)+3,8=55

Answer 1

Ответ:

Пошаговое объяснение:

1)х-1/12=4,75-1/3

х-1/12=4(целых)5/12

х=1/12+4(целых)5/12

х=4(целых)1/2

2)

53,76:(4,248-1,56х)+3,8=55

53.76:(4,248-1,56x)=55-3,8

53.76:(4,248-1,56x)=51,2

4,248-1,56x=53.76:51.2

4,248-1,56x=1.05

-1,56x=1.05-4,248

-1,56x=-3.198

x=-3.198:-1,56

x=2.05

ответ:x=2.05

Answer 2

To solve the equations, we'll simplify and isolate the variable (x) on one side of the equation. Let's take them one by one:

1. 4.75 - (x - 1/12) = 1/32

Step 1: Remove the parentheses by distributing the negative sign. 4.75 - x + 1/12 = 1/32

Step 2: Combine the constant terms on one side and the variable terms on the other side.

• x = 1/32 - 4.75 - 1/12

Step 3: Perform the arithmetic operations on the right-hand side.

• x = (1 - 153 - 4)/96
• x = -156/96
• x = -13/8

So, the solution to the first equation is x = -13/8.

2. 53 / (4.248 - 1.56x) + 3.8 = 55

Step 1: Move the constant term (3.8) to the other side of the equation. 53 / (4.248 - 1.56x) = 55 - 3.8 53 / (4.248 - 1.56x) = 51.2

Step 2: Invert both sides of the equation to get rid of the fraction. (4.248 - 1.56x) / 53 = 1 / 51.2

Step 3: Cross-multiply to solve for the variable. 4.248 - 1.56x = 53 / 51.2

Step 4: Perform the arithmetic operations on the right-hand side. 4.248 - 1.56x = 1.0390625

Step 5: Isolate the variable (x) by moving the constant term to the other side. -1.56x = 1.0390625 - 4.248

Step 6: Perform the arithmetic operations on the right-hand side. -1.56x = -3.2089375

Step 7: Solve for x by dividing both sides by -1.56 x = -3.2089375 / -1.56

Step 8: Perform the arithmetic operations on the right-hand side. x ≈ 2.0588349

So, the solution to the second equation is x ≈ 2.0588349.