SOLUTION: Solve each system by using the elimination method and the substitution method. 4x-3y=-19 3x+2y=24

Algebra ->  Expressions-with-variables -> SOLUTION: Solve each system by using the elimination method and the substitution method. 4x-3y=-19 3x+2y=24      Log On


   

Question 348399: Solve each system by using the elimination method and the substitution method.
4x-3y=-19
3x+2y=24
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4x-3y=-19 MULTIPLY BY 2
3x+2y=24 MULTIPLY BY 3 & ADD.
8X-6Y=-38
9X-6Y=72
----------------
17X=34
X=34/17
X=2 ANS.
4*2-3Y=-19
8-3Y=-19
-3Y=-19-8
-3Y=-27
Y=-27/-3
Y=9 ANS.
PROOF:
3*2+2*9=24
6+18=24
24=24
********************************
4x-3y=-19
3x+2y=24
3X=24-2Y
X=24/3-2Y/3
X=8-2Y/3
4(8-2Y/3)-3Y=-19
32-8Y/3-3Y=-19
-8Y/3-3Y=-19-32
(-8Y-3*3Y)/3=-51
(-8Y-9Y)/3=-51
-17Y=3*-51
-17Y=-153
Y=-153/-17
Y=9 ANS.
3X+2*9=24
3X+18=24
3X=24-18
3X=6
X=6/3
X=2 ANS.