Question

Способом подстановки найдите решение системы уравнений y-2x=1 и X+y=-6

Answer 1

Y=2x-1
подставим в y
x+2x-1=-6
3x-1=-6
3x=-5
x=5*-3
x=-15
y=2*-15-1
y=-30-1
y=-31

Answer 2

Solution to the System of Equations

To solve the system of equations y - 2x = 1 and x + y = -6 using the method of substitution, we can start by solving one of the equations for one variable and then substituting that expression into the other equation.

First, let's solve the second equation for x: x = -6 - y.

Now, we can substitute this expression for x into the first equation: y - 2(-6 - y) = 1.

Solving for y: y + 12 + 2y = 1, 3y + 12 = 1, 3y = -11, y = -11 / 3.

Now that we have the value of y, we can substitute it back into the equation x = -6 - y to find the value of x: x = -6 - (-11 / 3), x = -18 / 3 + 11 / 3, x = -7 / 3.

So, the solution to the system of equations y - 2x = 1 and x + y = -6 using the method of substitution is: x = -7 / 3 and y = -11 / 3.

Conclusion

The solution to the system of equations using the method of substitution is x = -7 / 3 and y = -11 / 3.