Question

X-xy+3x= -3 2y+xy-x+2

Answer 1

X-xy+3x= -3
2y+xy-x=2

-ху+4х=-3
2у+ху-х=2
сложим почленно эти уравнения и получим равносильное уравнение
2у+4х-х=-1
2у+3х=-1
y=(-1-3x)/2
подставляем во 2 уравнение у
2*(-1-3x)/2+х(-1-3x)/2-х=2
-1-3х-(х(1+3х))/2-x=2
-3x-x/2-3x²/2-x=3    умножим на 2
-6x-x-3x²-2x=6
-3x²-9x-6=0
x²+3x+2=0
D=9-8=1
x₁₂=(-3+-1)2=-2;-1
y₂=(-1+3)/2=1
y₁=(-1+6)2=2.5
ответ: (-2;2.5) (-1;1)
проверку надо бы сделать пока выкладываю так, раз срочно)

Answer 2

It looks like you've provided two equations without any specific instructions or questions. I assume you want to solve the system of equations for the variables x and y. To do that, we'll need to set up and solve the system of equations. Let's start by writing the equations properly:

1. x - xy + 3x = -3
2. 2y + xy - x + 2 = 0

Now, let's proceed with solving the system of equations:

Step 1: Simplify the first equation Combine like terms on the left side of the first equation: x - xy + 3x = 4x - xy = -3

Step 2: Simplify the second equation Combine like terms on the left side of the second equation: 2y + xy - x + 2 = xy + 2y - x + 2 = 0

Step 3: Rearrange the first equation We can rearrange the first equation to solve for y in terms of x: -xy = -3 - 4x Divide by -1 to isolate y: xy = 3 + 4x

Step 4: Substitute y into the second equation Now, we'll substitute the expression we found for y (xy = 3 + 4x) into the second equation:

2y + xy - x + 2 = 0 2(3 + 4x) + xy - x + 2 = 0 6 + 8x + xy - x + 2 = 0

Step 5: Combine like terms Combine the terms involving x: 7x + xy + 8 = 0

Step 6: Substitute xy from the first equation Now, we can substitute the expression for xy from the first equation (xy = 3 + 4x) into the equation we just derived:

7x + (3 + 4x) + 8 = 0 7x + 3 + 4x + 8 = 0 11x + 11 = 0

Step 7: Solve for x Subtract 11 from both sides: 11x = -11

Divide by 11 to find x: x = -11 / 11 x = -1

Step 8: Find y Now that we have the value of x, we can find y using the equation we found earlier:

xy = 3 + 4x y = (3 + 4x) / x y = (3 + 4(-1)) / -1 y = (3 - 4) / -1 y = -1

So, the solution to the system of equations is x = -1 and y = -1.