Answer:
y = 6
x = 4
Explanation:
to evaluate this system of equation using substitution method, we would say that let
-4x+6y=20................................... equation 1
4x-3y=-2................................................................... equation 2
from equation 1
-4x+6y=20................................... equation 1
-4x = 20 -6y
divide both sides by -4
-4x/-4 = 20- 6y/-4
x = -( 20 - 6Y)/4............................................................ EQUATION 3
Substitute the value of x into equation 2
4x-3y=-2................................................................... equation 2
4 ( 20 - 6y)/-4 - 3y = -2
- (20 - 6y) - 3y = -2
-20 + 6y -3y = -2
collect the like terms
6y -3y = -2 + 20
3y = 18
divide both sides by the coefficient of y
3y/3 = 18/3
y = 6
substitute the value of y = 6 into equation 3
x = -( 20 - 6Y)/4............................................................ EQUATION 3
x = 20 -6(6)/-4
x = 20 - 36/-4
x = -16/-4
x = 4
therefore the value of x and y is 4 and 6 respectively.