Question

1. x/8-x/12= -1/3 НОК(8,12,3)= 24умножим обе части данного уравнения на 24(x/8-x/12)*24=-1/3*24x/8*24-x/12*24= x=2. 5*x/14+3*3/4=4 3.7x=

Answer 1

1) х/8 - х/12 = -1/3;

НОК (8; 12; 3) = 24. Умножим обе части данного уравнения на 24:

(х/8 - х/12) * 24 = -1/3 * 24;

х/8 * 24 - х/12 * 24 = -8;

3х - 2х = -8;

х = -8.

Answer 2

I'll solve each equation step by step:

1. x/8 - x/12 = -1/3

To find the least common multiple (LCM) of 8, 12, and 3, we can multiply their prime factors together:

8 = 2^3 12 = 2^2 * 3 3 = 3^1

The LCM is 2^3 * 3^1 = 24.

Now let's multiply both sides of the equation by 24 to eliminate the denominators:

(x/8) * 24 - (x/12) * 24 = (-1/3) * 24 3x - 2x = -8 x = -8

So the solution to the equation is x = -8.

2. 5x/14 + 3(3/4) = 4

To simplify the equation, we'll first simplify the right side:

3*(3/4) = 9/4

Now we can rewrite the equation:

5x/14 + 9/4 = 4

To eliminate the fractions, we can multiply both sides by the least common multiple of 14 and 4, which is 28:

(5x/14) * 28 + (9/4) * 28 = 4 * 28 10x + 63 = 112

Now let's solve for x:

10x = 112 - 63 10x = 49 x = 49/10

So the solution to the equation is x = 49/10 or 4.9.

3. 7x = ?

I'm sorry, but the equation "7x = ?" is incomplete. Could you please provide the complete equation or specify what you would like to solve for?