Question

6(x-1)=x+5(x-1) -(0,5y-2)+3=2,5(2+3y)-y

Answer 1

Пошаговое объяснение:

6(x-1)=x+5(x+1)

6x-6=x+5x+5

6x-x-5x=6+5

0=11

-(0,5y-2)+3=2,5(2+3y)-y

-0,5y+2+3=5+7,5y-y

-0,5y-7,5y+y=5-2-3

-7y=0

y=0

Answer 2

Ответ:
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Answer 3

To solve the equation, let's first simplify each side step by step:

1. Starting with the left-hand side (LHS): 6(x - 1) = 6x - 6

2. Now, simplify the right-hand side (RHS): x + 5(x - 1) = x + 5x - 5 = 6x - 5

3. Next, simplify the second equation on the left-hand side (LHS): -(0.5y - 2) + 3 = -0.5y + 2 + 3 = -0.5y + 5

4. Finally, simplify the right-hand side (RHS) of the second equation: 2.5(2 + 3y) - y = 5 + 7.5y - y = 5 + 6.5y

Now, we have the two simplified equations:

1. 6x - 6 = 6x - 5
2. -0.5y + 5 = 5 + 6.5y

To solve these equations, we need to isolate the variables on one side:

1. For the first equation: 6x - 6 = 6x - 5

   We notice that both sides contain the term "6x," and they are equal. So, we can subtract 6x from both sides to eliminate it: 6x - 6 - 6x = 6x - 5 - 6x

   Simplify: -6 = -5

   This equation is not true. Therefore, there is no solution for the first equation, and it means that the original equation is inconsistent. The graph of both sides would be parallel lines that never intersect.

2. For the second equation: -0.5y + 5 = 5 + 6.5y

   To solve for y, we'll move all the terms containing y to one side and constant terms to the other side: -0.5y - 6.5y = 5 - 5

   Combine like terms: -7y = 0

   Now, divide both sides by -7 to isolate y: y = 0

The solution for the second equation is y = 0.

In summary, the original equation is inconsistent and has no solution for x and y except for y = 0 in the second equation.