Question

-3 1/8(4/5х+3/25у-8z)+7 1/2(2/3x+9/15y-10z)​

Answer 1

Ответ:

5/2x+33/8y-50z

Пошаговое объяснение:

Answer 2

To simplify the expression:

-3 1/8(4/5x + 3/25y - 8z) + 7 1/2(2/3x + 9/15y - 10z)

First, let's convert the mixed numbers to improper fractions:

-3 1/8 = -25/8 7 1/2 = 15/2

Now we can distribute and simplify the expression:

-25/8(4/5x + 3/25y - 8z) + 15/2(2/3x + 9/15y - 10z)

Let's simplify each term:

1. -25/8 * 4/5x = (-25/8) * (4/5)x = -5/2x
2. -25/8 * 3/25y = (-25/8) * (3/25)y = -3/8y
3. -25/8 * -8z = (-25/8) * (-8)z = 25z

Now for the second term:

1. 15/2 * 2/3x = (15/2) * (2/3)x = 5x
2. 15/2 * 9/15y = (15/2) * (9/15)y = 9/2y
3. 15/2 * -10z = (15/2) * (-10)z = -75z

Now we have simplified both terms, and we can put them back together:

(-5/2x - 3/8y + 25z) + (5x + 9/2y - 75z)

Now, combine like terms:

-5/2x + 5x = (5x - 5/2x) = (10/2x - 5/2x) = (5/2x) -3/8y + 9/2y = (-3/8y + 18/8y) = (15/8y) 25z - 75z = (25z - 75z) = (-50z)

Now, put it all together:

(5/2x) + (15/8y) + (-50z)

This is the simplified expression:

(5/2x) + (15/8y) - 50z