Question

6(2x-3y)-2(x+y), если 2y-x=17,8

Answer 1

12х-18у-2х-2у=10х-20у
х = 2у - 17,8
10(2у-17,8) - 20у
20у -178 - 20у
-178

Answer 2

To find the value of the expression 6(2x-3y)-2(x+y) given the equation 2y-x=17.8, we can start by substituting the value of x in terms of y from the equation into the expression.

Given: 2y - x = 17.8

Let's solve this equation for x: x = 2y - 17.8

Now, substitute this value of x into the expression 6(2x-3y)-2(x+y):

6(2(2y - 17.8) - 3y) - 2((2y - 17.8) + y)

Simplify the expression step by step:

Step 1: Distribute 6 to the terms inside the first parentheses: 6(4y - 35.6 - 3y) - 2((2y - 17.8) + y)

Step 2: Simplify inside the first parentheses: 6y - 213.6 - 2((2y - 17.8) + y)

Step 3: Distribute 2 to the terms inside the second parentheses: 6y - 213.6 - 2(2y - 17.8) - 2y

Step 4: Simplify inside the second parentheses: 6y - 213.6 - 4y + 35.6 - 2y

Step 5: Combine like terms: (6y - 4y - 2y) - 213.6 + 35.6

Step 6: Simplify further: 0y - 178

Step 7: Simplify the constant term: -178

Therefore, the value of the expression 6(2x-3y)-2(x+y) when 2y-x=17.8 is -178.