Question

1)10/x+7 = -5/8 2) 4x+7/3+2=7x/23)6+x/2=x+3/5​

Answer 1

Объяснение:

1)

10/x+7= - 5/8

10/x= - 5/8-7

10/x= - 7 5/8

X= - 10:61/8= - 10×8/61= - 80/61

2)

4x+7/3+2=7x/2

4x+13/3=7x/2

24x+26=21x

24x-21x= - 26

3x= - 26

X= - 26/3= - 8 2/3

3)

6+x/2=x+3/5

12+x/2=x+3/5

60+5x=10x+6

5x-10x=6-60

-5x= - 54

X=54/5=10 4/5=10,8

Answer 2

Let's solve each of the equations step by step:

1. 10/x + 7 = -5/8

First, let's isolate the term with x:

10/x = -5/8 - 7

10/x = (-5/8) - (56/8)

10/x = (-61/8)

Now, to solve for x, you can take the reciprocal of both sides:

x/10 = -8/61

Now, multiply both sides by 10 to get x by itself:

x = (-8/61) * 10 x = -80/61

So, the solution to the first equation is x = -80/61.

2. (4x + 7)/3 + 2 = 7x/23

Let's start by simplifying the equation:

(4x + 7)/3 + 2 = 7x/23

First, subtract 2 from both sides:

(4x + 7)/3 = 7x/23 - 2

Now, to get rid of the fractions, multiply both sides by 3:

4x + 7 = (7x/23 - 2) * 3

4x + 7 = 3(7x/23 - 2)

Now, distribute the 3 on the right side:

4x + 7 = (21x/23 - 6)

Now, subtract (21x/23 - 6) from both sides:

4x - (21x/23) = -6 - 7

To add or subtract fractions, you need a common denominator. In this case, the common denominator is 23:

(92x/23 - 21x/23) = -13

Now, subtract the fractions:

(92x - 21x)/23 = -13

71x/23 = -13

Now, to solve for x, multiply both sides by 23:

71x = -13 * 23

71x = -299

Now, divide by 71:

x = -299/71

Simplify if necessary:

x = -299/71 = -4.21 (rounded to two decimal places)

So, the solution to the second equation is approximately x = -4.21.

3. 6 + x/2 = (x + 3)/5

Let's first get rid of the fractions by multiplying both sides by the least common multiple of 2 and 5, which is 10:

10(6 + x/2) = 10(x + 3)/5

Now, simplify both sides:

10(6) + 10(x/2) = 2(x + 3)

60 + 5x = 2(x + 3)

Now, distribute 2 on the right side:

60 + 5x = 2x + 6

Now, subtract 2x from both sides:

3x = 6 - 60

3x = -54

Now, divide by 3:

x = -54/3

x = -18

So, the solution to the third equation is x = -18.