Solve the following using the substitution method and find the value of x and y:
-2y = 10
-2x + y = -11

The correct answer is: 3, -5

In this method, the elimination of the variable can be performed by substituting the value of another variable in an equation. Hence, this method is called the elimination by substitution method.
-2y = 10 and  -2x + y = -11
Given:
-2y = 10  …  (1)
-2x + y = -11 …(2)
The equation (1) can be written as
y = -5
Hence, the value of y is -5.
Now, substituting y = -5 in the equation (2), we get
-2x + (-5) = -11
-2x = -6
x = 3
Therefore, the value of x is 3.
Hence, the solution for the system of linear equations is:
x = 3 and y= -5
To check whether the obtained solution is correct or not, substitute the values of x and y in any of the given equations.
Verification:
Use Equation (2) to verify the solution
 -2x + y = -11
Now, substitute x=  3 and y= -5
-2(3) + (-5) = -11
-6 -5= -11
-11 = -11
Here, L.H.S = R.H.S
Thus, the obtained solution is correct.