99 points
solve the system using elimination. show your work.
2x – 3y = 18
x + y = 14
check my answer.
solve the system using substitution.
x = y – 3
2x + 4y = 16
substitute x for y-3 to get y:
2x + 4y = 16
2(y-3) + 4y = 16
2(y) 2(-3) +4y (distribute) = 2y -6 +4y
2y - 6 +4y (combine like terms) = 6y -6
6y -6 +6 = 16 +6 (get rid of -6)= 6y=22
6y/6=22/6 (get y)= y=3.6
substitute y for 3.6 to get x:
x = y-3
x = 3.6 - 3 = 0.6
x = 0.6
final:
(0.6, 3.6)