Solve the following using the substitution method and find the value of x and y:
-5x = 25
3x + 5y = -35

The correct answer is: -5, -4

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 = 25 and 3x+ 5y = -35
Given:
-5x = 25  …  (1)
3x+5y = -35 …(2)
The equation (1) can be written as
x = 25/-5 = -5… (3)
Now, in equation (2) eliminate the variable x by substituting the value of x in  equation (2).
Hence, equation (2) becomes
3(-5) +5y = -35
-15 + 5y = -35
5y = -20
y = -4
Hence, the value of y is -4.
Hence, the solution for the system of linear equations is:
x = -5 and y= -4
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
3x+5y = -35
Now, substitute x= -5 and y= -4
3(-5) + 5(-4) = -35
-15 -20 = -35
-35 = -35
Here, L.H.S = R.H.S
Thus, the obtained solution is correct.