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 these equations one by one:

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

First, let's isolate the term with x on one side of the equation:

10/x = -5/8 - 7

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

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

10/x = -61/8

Now, to solve for x, you can cross-multiply:

10 * 8 = -61 * x

80 = -61x

To solve for x, divide both sides by -61:

x = 80 / -61

So, x = -80/61.

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

First, get rid of the fractions by multiplying both sides of the equation by 3:

3 * [(4x + 7)/3 + 2] = 3 * (7x/2)

4x + 7 + 6 = (21x)/2

Now, simplify the equation:

4x + 13 = (21x)/2

To get rid of the fraction, multiply both sides by 2:

2 * (4x + 13) = 2 * (21x)/2

8x + 26 = 21x

Now, move all the x terms to one side of the equation and the constants to the other side:

8x - 21x = -26

-13x = -26

Now, solve for x by dividing both sides by -13:

x = -26 / -13

x = 2

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

First, get rid of the fractions by multiplying both sides of the equation by the least common multiple of 2 and 5, which is 10:

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

60 + 5x = 2x + 6

Now, move all the x terms to one side and the constants to the other side:

5x - 2x = 6 - 60

3x = -54

Now, solve for x by dividing both sides by 3:

x = -54 / 3

x = -18

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