Question

2+(-9/14х)=4 целых 4/7

Answer 1

2 + (-9/14х) = 4 целых 4/7,           2 целых 4/7 : 9/14 = 18/7 · 14/9 = 4
-9/14х = 4 целых 4/7 - 2,
-9/14х = 2 целых 4/7,
х = 2 целых 4/7 : (-9/14),
х = -4

Answer 2

2+(-9/14x)=32/7
2-9/14x=32/7
28-9x=64
-9x=64-28
-9x=36
x=-4

Answer 3

To solve the equation 2 + (-9/14 * x) = 4 4/7, we'll follow these steps:

Step 1: Convert the mixed number 4 4/7 to an improper fraction. Step 2: Simplify the equation. Step 3: Solve for x.

Step 1: Convert 4 4/7 to an improper fraction: To convert the mixed number 4 4/7 to an improper fraction, multiply the whole number (4) by the denominator of the fraction (7) and then add the numerator (4). Write the result over the denominator (7).

4 * 7 = 28 28 + 4 = 32

So, 4 4/7 as an improper fraction is 32/7.

Step 2: Simplify the equation: Now, rewrite the equation with the improper fraction:

2 + (-9/14 * x) = 4 4/7

Step 3: Solve for x: To solve for x, we need to isolate it on one side of the equation. First, let's get rid of the constant term on the left side by subtracting 2 from both sides:

2 + (-9/14 * x) - 2 = 4 4/7 - 2

Simplifying:

-9/14 * x = 4 4/7 - 2

Next, subtract 2 from 4 4/7:

4 4/7 - 2 = 32/7 - 14/7 = (32 - 14) / 7 = 18/7

Now the equation becomes:

-9/14 * x = 18/7

To solve for x, we need to isolate it. To do that, we'll divide both sides of the equation by -9/14:

x = (18/7) / (-9/14)

When dividing fractions, we flip the second fraction (the divisor) and multiply:

x = (18/7) * (-14/9)

Now, multiply the numerators and denominators:

x = (-18 * 14) / (7 * 9)

x = -252 / 63

To simplify the fraction, find the greatest common divisor (GCD) of 252 and 63, which is 63. Divide both the numerator and denominator by 63:

x = -252 / 63 = -4

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