Question

{x-y=4 {2x+y=2{4x+2y=1{-2x+y=3​ Смотреть ответ Moranes Moranes Ответ: 1)(x, y )=(2, -2) 2)(x, y)=(-5/8, 7/4)

Answer 1

Looks like you've provided a system of linear equations:

1. $x - y = 4$
2. $2x + y = 2$
3. $4x + 2y = 1$
4. $-2x + y = 3$

It seems you would like to find the solutions for $x$ and $y$. Let's solve this system step by step.

Starting with equation 1 and equation 4, we can add them to eliminate $y$: $x - y + (-2x + y) = 4 + 3$ $-x = 7$ $x = -7$

Now that we have $x$, we can substitute it into equation 2 to find $y$: $2x + y = 2$ $2(-7) + y = 2$ $-14 + y = 2$ $y = 16$

So, the solution for the first set of equations is: $x = -7$ and $y = 16$.

Now, let's check the solution with the other two equations.

Substitute $x$ and $y$ into equation 3: $4x + 2y = 1$ $4(-7) + 2(16) = 1$ $-28 + 32 = 1$ $4 \neq 1$

So, the solution $(-7, 16)$ does not satisfy the third equation.

Similarly, substitute $x$ and $y$ into equation 4: $-2x + y = 3$ $-2(-7) + 16 = 3$ $14 + 16 = 3$ $30 \neq 3$

The solution $(-7, 16)$ also does not satisfy the fourth equation.

Therefore, it seems there might be some mistake in the given solutions. Please double-check the equations and solutions. If you have any corrections or additional information, feel free to provide them so we can assist you further.