SOLVE X/2+2Y/3=-1 AND X-Y/3=3USING SUBSTITUTION AND ELIMINATION METHOD

Answer 1

x/2 + 2y/3 = -1 ---> 3x + 4y = -6
x - y/3= 3 --------> 3x - y = 9

elimination:
subtract them:
5y = -15
y = -3
sub into the 2nd
3x - (-3) = 9
3x = 6
x = 2

x = 2, y = -3

by substitution:
from the 2nd: y = 3x-9
into the 1st:
3x + 4(3x-9) = -6
3x + 12x - 36=-6
15x = 30
x = 2
back into y = 3x-9 = 3(2) - 9 = -3

x = 2, y = -3