Answer:
x = 4 , y = -3
Step-by-step explanation:
To solve the system of equation using substitution method
we say let
3x + 2y = -21....................................... equation 1
x-3y = 4............................................ equation 2
from equation 2
x-3y = 4............................................ equation
x = 4 + 3y.....................................................................equation 3
substitute for equation 3 into equation 1
3x + 2y = -21....................................... equation 1
3(4+3y) + 2y = -21
12 + 9y +2y = -21
11y = -21 -12
11y = -33
divide both sides by the coefficient of y which is 11
11y/11 = -33/11
y = -3
put the value of y = -3 into equation 3
x = 4 + 3y.....................................................................equation 3
x = 4 + 3(-3)
x = 4 + 0
x = 4