Question

{2х+у=1 {у-х=4 помогите плиз

Answer 1

У = Х + 4
2х + Х + 4 = 1
3х = - 3
Х = - 1
у = - 1 + 4 = 3
Ответ ( - 1 ; 3 )

Answer 2

Solving the Equations

To solve the system of equations 2x + y = 1 and y - x = 4, we can use the substitution method or the elimination method. Let's use the substitution method to solve for the values of x and y.

First, let's solve the second equation for y: y = x + 4

Now, substitute the value of y in the first equation: 2x + (x + 4) = 1 3x + 4 = 1 3x = 1 - 4 3x = -3 x = -1

Now that we have the value of x, we can find the value of y using the second equation: y = -1 + 4 y = 3

So, the solution to the system of equations is: x = -1 y = 3

Verification

Let's verify the solution by substituting the values of x and y back into the original equations: 2*(-1) + 3 = 1 (Equation 1) -2 + 3 = 1 1 = 1

3 - (-1) = 4 (Equation 2) 3 + 1 = 4 4 = 4

The values of x and y satisfy both equations, confirming that the solution is correct.

Therefore, the solution to the system of equations 2x + y = 1 and y - x = 4 is: x = -1 y = 3