The value of x is -2 and the value of y is -1.
Explanation:
Step 1; The given equations are taken as
-3y -9x =21 or -9x -3y = 21, take this as equation 1
-18x +4y =32, take this as equation 2
Step 2; We multiply equation 1 with 2 and equation 2 with 1 so we can cancel out the variable x in both equations. By doing this we get
-18x -6y =42, take this as equation 3
-18x +4y =32, this is the same as equation 2
If we subtract 3 with 2, we cancel out the x variable and can calculate the value of y.
10y = -10 , y = -10/10 = -1
Step 3; Substituting this value of y in any of the previous equations we will get x's value. Here this value of y is substituted in equation 2.
-18x +4(-1) =32, -18x -4 = 32 , -18x = 36, x=-2.
So we have x = -2 and y = -1.