Х+2у=0 х+у-2х+7у=8

To solve the equations, let's start with the system of equations:

1. x + 2y = 0
2. x + y - 2x + 7y = 8

First, let's simplify equation 2:

x + y - 2x + 7y = 8 Combine like terms: -x + 8y = 8

Now we have a system of equations:

1. x + 2y = 0
2. -x + 8y = 8

We can solve this system using the method of substitution. Solve equation 1 for x in terms of y:

x = -2y

Now substitute the value of x in equation 2:

-(-2y) + 8y = 8 2y + 8y = 8 10y = 8 y = 8/10 y = 4/5

Now substitute the value of y back into equation 1 to find x:

x + 2(4/5) = 0 x + 8/5 = 0 x = -8/5

Therefore, the solution to the system of equations is x = -8/5 and y = 4/5.