Question

(x+2y=1{-x + 2 y =-3​

Answer 1

Ответ:

$x = 1 - 2y \\ \\ - (1 - 2y) + 2y = 3 \\ - 1 + 2y + 2y = 3 \\ 4y = 4 \\ y = 1 \\ \\ x = 1 - 2y \\ x = 1 - 2 \times 1 \\ x = 1 - 2 \\ x = - 1 \\ \\ y = 1 \\ x = - 1$

Answer 2

It seems you've provided a system of linear equations with two equations involving the variables x and y. Let's solve this system of equations.

The given equations are:

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

We can solve this system using various methods, such as substitution, elimination, or matrix methods. Let's use the elimination method to solve it:

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

We can eliminate one variable by adding these equations together. When we add the equations, the x term cancels out:

(1) + (2): (x + 2y) + (-x + 2y) = 1 + (-3) 2y + 2y = -2 4y = -2 y = -2/4 y = -1/2

Now that we have the value of y, we can substitute it back into one of the original equations to solve for x. Let's use the first equation (1):

x + 2y = 1 x + 2(-1/2) = 1 x - 1 = 1 x = 1 + 1 x = 2

So, the solution to the given system of equations is: x = 2 y = -1/2