Question

2/3 * ( 4 1/2х - 3.5) - 5/7 *( 7.15 x - 7.9) =-1 32/45 Срочно!!!!

Answer 1

Ответ:

х = - 0,7

Пошаговое объяснение:

2/3 * (4 1/2х - 3/5) - 5/7 * (7/15х - 7/9) = - 1 32/45

2/3 * (9/2х - 3/5) - 5/7 * (7/15х - 7/9) = - 77/45

3х - 2/5 - 1/3х + 5/9 = - 77/45

3х - 1/3х = - 77/45 + 2/5 - 5/9

2 целых 2/3х = - 77/45 + 18/45 - 25/45

8/3х = - 84/45

х = - 84/45 : 8/3

х = - 84/45 * 3/8 = - (21*1)/(15*2) = - 21/30 (сократим на 3)

х = - 7/10

Answer 2

To solve the equation, follow these steps:

Step 1: Distribute the terms inside the parentheses. Step 2: Perform the operations involving "x" on each side of the equation. Step 3: Continue simplifying the equation by combining like terms. Step 4: Isolate the variable "x" to find its value.

Let's go through the steps:

Step 1: 2/3 * (4 1/2x - 3.5) - 5/7 * (7.15x - 7.9) = -1 32/45

Distribute the terms inside the parentheses:

(2/3) * 4 1/2x - (2/3) * 3.5 - (5/7) * 7.15x + (5/7) * 7.9 = -1 32/45

Step 2: Now, convert the mixed number 4 1/2 to an improper fraction:

4 1/2 = 4 + 1/2 = 8/2 + 1/2 = 9/2

Substitute it into the equation:

(2/3) * (9/2)x - (2/3) * 3.5 - (5/7) * 7.15x + (5/7) * 7.9 = -1 32/45

Step 3: Now, multiply the fractions and perform other operations:

(18/6)x - 7/3 - (40/7)x + 5 = -1 32/45

Step 4: Combine the terms with "x" on the left side:

(18/6 - 40/7)x - 7/3 + 5 = -1 32/45

To combine fractions, find a common denominator, which is 42:

(7/42 - 40/42)x - 7/3 + 5 = -1 32/45

(-33/42)x - 7/3 + 5 = -1 32/45

Now, simplify further:

(-11/14)x - 7/3 + 5 = -1 32/45

Next, get rid of the fractions in the equation by finding a common denominator, which is 14:

(-11/14)x - (7/3 * 14/14) + (5 * 14/14) = -1 32/45

(-11/14)x - (98/14) + (70/14) = -1 32/45

Now, combine the constants:

(-11/14)x - (28/14) = -1 32/45

Next, get rid of the fraction in the constant term by finding a common denominator, which is 14:

(-11/14)x - (28/14 * 45/45) = -1 32/45

(-11/14)x - (1260/14) = -1 32/45

Now, combine the constant terms:

(-11/14)x - (1260/14) = -77/45

Next, get rid of the fraction in the equation by multiplying both sides by 14:

14 * ((-11/14)x - (1260/14)) = 14 * (-77/45)

Simplify:

-11x - 1260 = -1078/45

Next, isolate the variable "x" by moving the constant to the other side of the equation:

-11x = -1078/45 + 1260

-11x = (-1078 + 1260*45)/45

-11x = (570 - 1078)/45

-11x = -508/45

Finally, solve for "x":

x = (-508/45) / -11

x = 508/495 ≈ 1.0253

Therefore, the solution to the equation is x ≈ 1.0253.