Question

-3,6-x=0,9 1 5/8 + x = -3 1/12 Решите уравнения

Answer 1

-3.6-х=0.9

-х=0.9+3.6

-х=4.5

Х=-4.5

Answer 2

-3,6 - х = 0,9

-х=0,9 + 3,6

-х=4,5 /:-1

х= - 4,5

15/8 + х = - 31/12

х = - 31/12 - 15/8 (умножаем - 31/12 на 2, а 15/8 на 3,чтобы привести к общему знаменателю)

х= -62/24 - 45/24

х = - 107/24

Answer 3

To solve the equations, we'll isolate the variable x on one side of the equation.

1. -3 + 6x = 0.9

Step 1: Move the constant term to the right side of the equation by adding 3 to both sides: -3 + 3 + 6x = 0.9 + 3

Simplified equation: 6x = 3.9

Step 2: Isolate x by dividing both sides by 6: 6x / 6 = 3.9 / 6

Simplified equation: x = 0.65

So the solution to the first equation is x = 0.65.

2. 1 5/8 + x = -3 1/12

Step 1: Convert the mixed fraction 1 5/8 to an improper fraction. 1 5/8 = (1 * 8 + 5) / 8 = 13 / 8

Step 2: Add the converted fraction to both sides of the equation: 13/8 + x = -3 1/12

Step 3: Convert the mixed fraction -3 1/12 to an improper fraction. -3 1/12 = -(3 * 12 + 1) / 12 = -37 / 12

Step 4: Move the constant term to the right side of the equation by adding 37/12 to both sides: 13/8 + x + 37/12 = -37/12 + 37/12

Simplified equation: 13/8 + x + 37/12 = 0

Step 5: To combine the fractions on the left side, find a common denominator for 8 and 12, which is 24. Then rewrite the fractions with the common denominator: (13/8) * (3/3) = 39/24 (37/12) * (2/2) = 74/24

The equation becomes: 39/24 + x + 74/24 = 0

Step 6: Combine the fractions on the left side of the equation: 39/24 + 74/24 = 113/24

The equation now becomes: 113/24 + x = 0

Step 7: Isolate x by moving the fraction term to the right side by subtracting 113/24 from both sides: 113/24 - 113/24 + x = 0 - 113/24

Simplified equation: x = -113/24

So the solution to the second equation is x = -113/24.