Question

2/3(1 1/2x+3/5)−4/5(5/12x−1/2)=1 3/5

Answer 1

Ответ:

2/3(1 1/2x+3/5)- 4/5(5/12x-1/2)=1 3/5

x+2/5-1/3x+2/5=8/5

2/3x+4/5=8/5

2/3x=8/5-4/5

2/3x=4/5

x=4/5*3/2

x=6/5

x=1 1/5

Пошаговое объяснение:

Answer 2

To solve the equation, let's first simplify the left-hand side:

1. Distribute the coefficients in both terms: (2/3) * (1 + 1/2x + 3/5) - (4/5) * (5/12x - 1/2) = 1 3/5

2. Simplify within the parentheses: (2/3) * (1 + 1/2x + 3/5) - (4/5) * (5/12x - 1/2) = (2/3) * (1) + (2/3) * (1/2x) + (2/3) * (3/5) - (4/5) * (5/12x) + (4/5) * (1/2)

3. Further simplify: = 2/3 + (1/3)x + 2/5 - (1/3)x + 2/5

4. The x terms cancel out: = 2/3 + 2/5 + 2/5

5. Add the fractions: = 2/3 + 4/5

To add these fractions, we need a common denominator, which is 15 in this case:

= (10 + 12) / 15 = 22 / 15

Now, the equation becomes:

22/15 = 1 3/5

To convert the mixed number (1 3/5) to an improper fraction, we multiply the whole number (1) by the denominator (5) and add the numerator (3) to get the new numerator. So, 1 3/5 = (1 * 5 + 3) / 5 = 8/5.

Now, the equation is:

22/15 = 8/5

To solve for x, cross-multiply:

22 * 5 = 8 * 15

110 = 120

Since 110 is not equal to 120, there is no solution to the equation. Therefore, the original equation is inconsistent, and there is no value of x that satisfies it.