Question

(х-3/4)/(3/8-1/6)=6(х-7/15)/(3/4-1/2)=-4(2/5+х)/(2/3-1/6)=-2​

Answer 1

Ответ:

сорри если что-то не правильно!!!!!!!!!

Answer 2

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

1. (x - 3/4) / (3/8 - 1/6) = 6

First, simplify the denominator:

(3/8 - 1/6) = (9/24 - 4/24) = (5/24)

Now the equation becomes:

(x - 3/4) / (5/24) = 6

To isolate x, multiply both sides by (5/24):

(x - 3/4) = 6 * (5/24)

(x - 3/4) = 5/4

Now, add 3/4 to both sides:

x = 5/4 + 3/4

x = 8/4

x = 2

So, the solution to the first equation is x = 2.

2. (6x - 7/15) / (3/4 - 1/2) = -4

First, simplify the denominator:

(3/4 - 1/2) = (6/8 - 4/8) = (2/8) = (1/4)

Now the equation becomes:

(6x - 7/15) / (1/4) = -4

To isolate 6x - 7/15, multiply both sides by (1/4):

6x - 7/15 = -4 * (1/4)

6x - 7/15 = -1

Now, add 7/15 to both sides:

6x = -1 + 7/15

6x = -15/15 + 7/15

6x = -8/15

Now, divide by 6 to solve for x:

x = (-8/15) / 6

x = (-8/15) * (1/6)

x = -8/90

x = -4/45

So, the solution to the second equation is x = -4/45.

3. (-2(2/5 + x)) / (2/3 - 1/6) = -2

First, simplify the denominator:

(2/3 - 1/6) = (4/6 - 1/6) = (3/6) = (1/2)

Now the equation becomes:

(-2(2/5 + x)) / (1/2) = -2

Now, simplify further by multiplying both sides by (1/2):

-2(2/5 + x) = -2 * (1/2)

Now, distribute the -2 on the left side:

-(4/5 + 2x) = -1

Now, distribute the negative sign on the left side:

-4/5 - 2x = -1

To isolate -2x, subtract -4/5 from both sides:

-2x = -1 + 4/5

-2x = (-5/5) + (4/5)

-2x = -1/5

Now, divide by -2 to solve for x:

x = (-1/5) / (-2)

x = (-1/5) * (-1/2)

x = 1/10

So, the solution to the third equation is x = 1/10.

To summarize:

1. x = 2
2. x = -4/45
3. x = 1/10