Question

11/12 x-2/3=-0,5-3/4 x

Answer 1

11/12Х-2/3=-0,5-3/4Х
11/12Х+3/4Х=0,5+2/3
1целая2/3Х=1целая1/6
Х=1целая1/6:1целая2/3
Х=7/10

Answer 2

To solve the equation 11/12 + x - 2/3 = -0.5 - 3/4 + x, we can start by simplifying both sides of the equation.

Let's start by adding like terms on both sides. On the left side, we have 11/12 + x, and on the right side, we have -0.5 - 3/4 + x.

To add fractions, we need to find a common denominator. The denominators in this equation are 12 and 4. The least common multiple of 12 and 4 is 12. So we need to convert the fractions to have a denominator of 12.

For 11/12, we don't need to do anything because the denominator is already 12.

For -3/4, we can multiply both the numerator and denominator by 3 to get -9/12.

Now, the equation becomes:

11/12 + x - 2/3 = -0.5 - 9/12 + x

Next, let's simplify the right side of the equation:

-0.5 - 9/12 = -6/12 - 9/12 = -15/12 = -5/4

Now, the equation becomes:

11/12 + x - 2/3 = -5/4 + x

To get rid of the denominators, we can multiply both sides of the equation by 12 (the common denominator of 12, 3, and 4):

12 * (11/12 + x - 2/3) = 12 * (-5/4 + x)

This simplifies to:

11 + 12x - 8 = -15 + 12x

Combine like terms:

12x + 3 = 12x - 15

Now, we can subtract 12x from both sides of the equation:

12x - 12x + 3 = 12x - 12x - 15

This simplifies to:

3 = -15

The equation 3 = -15 is not true. There is no solution to this equation.

Therefore, the original equation 11/12 + x - 2/3 = -0.5 - 3/4 + x has no solution.