Question

3(1-2x)=2(1-y), 4(x - y)=-2x + 5​

Answer 1

Ответ:

3(1-2х)=2(1-у)

4(х-у)=-2х+5

3-6х=2-2у                                        

4х-4у=-2х+5    

6х=1+2у

6х=5+4у

1+2у=5+4у

-2у=4

у=-2

6х=1+2*(-2)

6х=1-4=-3

х=-0,5

Объяснение:

Answer 2

To solve the system of equations:

1. 3(1 - 2x) = 2(1 - y)
2. 4(x - y) = -2x + 5

Let's solve them step by step:

1. Distribute the terms: 3 - 6x = 2 - 2y

2. Simplify: -6x + 6 = -2y

3. Divide by -2: 3x - 3 = y

Now we have the equation: y = 3x - 3.

Substitute this value of y into the second equation:

4. 4(x - y) = -2x + 5

   4(x - (3x - 3)) = -2x + 5

   4(x - 3x + 3) = -2x + 5

   4(-2x + 3) = -2x + 5

   -8x + 12 = -2x + 5

5. Move all terms involving x to one side: -8x + 2x = 5 - 12

   -6x = -7

6. Divide by -6: x = (-7) / (-6)

   x = 7/6

Now substitute this value of x back into the equation y = 3x - 3:

y = 3(7/6) - 3

y = 7/2 - 3

y = 7/2 - 6/2

y = 1/2

Therefore, the solution to the system of equations is x = 7/6 and y = 1/2.