Question

Решите 1)-9x=45 2)0,8x=-32 3)1\7x=-6\14 4)-2 5\6x=17\18

Answer 1

Ответ:

Пошаговое объяснение:

1) -9х=45

x=45:(-9)

x=-5

2)0,8x=32

x=32:0,8

x=320/8

x=40

3)1/7x=-6/14

x=-6/14:1/7=-6/14*7/1=-42/14=-3

x=-3

4)-2 5/6x=17/18

-2 15/18x=17/18

-51/18x=17/18

x=-51/18*18/17=-0,3

x=-0,3

Answer 2

To solve each equation for 'x,' follow these steps:

1. -9x = 45

Step 1: Divide both sides by -9 to isolate 'x': x = 45 / -9

Step 2: Simplify the right side: x = -5

So, the solution is x = -5.

2. 0.8x = -32

Step 1: Divide both sides by 0.8 to isolate 'x': x = -32 / 0.8

Step 2: Simplify the right side: x = -40

So, the solution is x = -40.

3. (1/7)x = (-6/14)

Step 1: Simplify the right side by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2: (1/7)x = (-3/7)

Step 2: To get rid of the fraction on the left side, multiply both sides by 7: x = -3

So, the solution is x = -3.

4. (-2 5/6)x = 17/18

Step 1: Convert the mixed number (-2 5/6) to an improper fraction: (-2 5/6) = (-2 * 6 + 5)/6 = (-12 + 5)/6 = (-7/6)

Step 2: Divide both sides by (-7/6) to isolate 'x': x = (17/18) / (-7/6)

Step 3: Invert the denominator and multiply: x = (17/18) * (-6/7)

Step 4: Simplify the right side: x = -102 / 126

Step 5: Reduce the fraction: x = -17 / 21

So, the solution is x = -17/21.

Note: To add or subtract mixed numbers, convert them to improper fractions first, as shown in Step 1.

Remember, always check your solutions by substituting them back into the original equations to ensure they satisfy the given equations.