Question

9/16 - (16/3 x- 2/3 - у)-7/20 - (20/7 - x-40/7 - у)​

Answer 1

Пошаговое объяснение:

9/16-1(16x/3-1*2/3-y)-1*7/20-1(20/7-x-1*40/7-y)

9/16-1*16x/3+2/3+y-1*7/20-1(20/7-x-1*40/7-y)

9/16+-16x/3+2/3+y-7/20-1(20/7-x-40/7-y)

9/16+-16x/3+2/3+y-7/20+x+y+20/7

6277/1680+-16x/3+2y+x

Answer 2

Let's simplify the expression step by step:

1. Start with the expression: (9/16) - (16/3 * x - 2/3 - у) - (7/20) - (20/7 - x - 40/7 - у)

2. First, distribute the -1 through the second set of parentheses: (9/16) - (16/3 * x - 2/3 + у) - (7/20) - (20/7 - x - 40/7 + у)

3. Now, combine like terms within each set of parentheses:

   In the first set of parentheses: 16/3 * x - 2/3 + у = (16/3) * x - (2/3) + у

   In the second set of parentheses: 20/7 - x - 40/7 + у = -(20/7) * x + (20/7) + у

4. Substitute these simplified expressions back into the main expression:

   (9/16) - [(16/3) * x - (2/3) + у] - (7/20) - [-(20/7) * x + (20/7) + у]

5. Now distribute the negative sign through the second set of parentheses: (9/16) - (16/3 * x - 2/3 + у) - (7/20) + (20/7 * x - 20/7 - у)

6. Combine like terms in the expression: 9/16 - 7/20 - 16/3 * x + 2/3 - у + 20/7 * x - 20/7 + у

7. Now, you can add and subtract the fractions:

   (9/16) - (7/20) - (16/3 * x) + (2/3) + (20/7 * x) - (20/7)

8. To add and subtract fractions, find a common denominator for the fractions in each term:

   Common denominator = 3360

   (9/16) * (210/210) - (7/20) * (168/168) - (16/3 * x) * (1120/1120) + (2/3) * (1120/1120) + (20/7 * x) * (480/480) - (20/7) * (480/480)

9. Now, calculate each term:

   [(9 * 210) - (7 * 168) - (16 * 1120) + (2 * 1120) + (20 * 480) - (20 * 480)] / 3360

10. Perform the calculations in the numerators:

[1890 - 1176 - 17920 + 2240 + 9600 - 9600] / 3360

11. Now simplify the numerator:

(-28096 + 2240) / 3360

12. Continue simplifying:

(-25956) / 3360

13. Finally, divide the numerator by the denominator:

-25956 / 3360 = -2163 / 280

So, the simplified expression is:

-2163/280