Solve the following using the substitution method and find the value of x and y:
-5x - 4y = 32
2y = -6

The correct answer is: -4, -3

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.
-5x - 4y = 32 and 2y = -6
Given:
-5x - 4y = 32  …  (1)
2y = -6 …(2)
The equation (2) can be written as
y = -3
Hence, the value of y is -3.
Now, substituting y= -3 in the equation (1), we get
-5x - 4y = 32
-5x - 4(-3) = 32
-5x +12 = 32
-5x = 20
x = -4
Therefore, the value of x is -4.
Hence, the solution for the system of linear equations is:
x = -4 and y= -3
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 (1) to verify the solution
-5x - 4y = 32
Now, substitute x= -4 and y= -3
-5(-4) - 4(-3) = 32
20 + 12= 32
32 = 32
Here, L.H.S = R.H.S
Thus, the obtained solution is correct.