Question

36:7-5/6х=827:5 1/3+1/8х=4,5

Answer 1

36:7-5/6х=8
36/7-5/6х=8
216-35х=336
-35х=336-216
-35х=120
х=-24/7

27:5 1/3+1/8х=4,5
27:16/3+1/8х=9/2
27*3/16+1/8х=9/2
81/16+1/8х=9/2
81+2х=72
2х=72-81
2х=-9
х=-9/2

Answer 2

5/6Х = 36/7 - 8
5/6Х = 5 1/7 - 8
5/6Х = - 2 6/7
Х = - 2 6/7 : 5/6
Х = - 20/7 х 6/5 = - 24/7
Х = - 3 3/7

27 : 16/3 + 1/8Х = 45/10
27 х 3/16 + 1/8Х = 45/10
81/16 + 1/8Х = 45/10
1/8Х = 45/10 - 81/16
1/8Х = - 45/80
Х = - 45/80 : 1/8
Х = - 45/80 х 8
Х = - 45/10 = - 4,5

Answer 3

To solve the equations, let's break them down step by step:

Equation 1: 36:7 - 5/6x = 827:5

First, let's simplify the equation by performing the divisions:

36 ÷ 7 = 5.142857142857143 (rounded to 15 decimal places) 827 ÷ 5 = 165.4

Now, the equation becomes:

5.142857142857143 - (5/6)x = 165.4

To eliminate the fraction, let's multiply through by 6:

(6 * 5.142857142857143) - 5x = 6 * 165.4

30.857142857142858 - 5x = 992.4

Next, let's isolate the term with x by subtracting 30.857142857142858 from both sides:

30.857142857142858 - 30.857142857142858 - 5x = 992.4 - 30.857142857142858

-5x = 961.5428571428571

Finally, solve for x by dividing both sides by -5:

x = 961.5428571428571 / -5

x ≈ -192.30857142857143

So, the solution for Equation 1 is x ≈ -192.30857142857143.

Equation 2: 1/3 + 1/8x = 4.5

To eliminate the fractions, let's find a common denominator. In this case, it is 24:

(8 * 1) / 3 + 1/8x = (4.5 * 24)

8/3 + 1/8x = 108

Multiply through by 24 to remove the fractions:

(24 * 8)/3 + (24 * 1/8x) = 24 * 108

64 + 3x = 2592

Now, isolate the term with x by subtracting 64 from both sides:

64 - 64 + 3x = 2592 - 64

3x = 2528

Divide both sides by 3 to solve for x:

x = 2528 / 3

x ≈ 842.6666666666666

So, the solution for Equation 2 is x ≈ 842.6666666666666.

Therefore, the solutions to the given equations are:

Equation 1: x ≈ -192.30857142857143 Equation 2: x ≈ 842.6666666666666