SOLUTION: having trouble solvin this probolem using addition method,substitution and graphing not sure ifm i am suppose to have the same answer for all three methods 3x+2y=22 5x-4y=0

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: having trouble solvin this probolem using addition method,substitution and graphing not sure ifm i am suppose to have the same answer for all three methods 3x+2y=22 5x-4y=0      Log On


   



Question 169662: having trouble solvin this probolem using addition method,substitution and graphing not sure ifm i am suppose to have the same answer for all three methods
3x+2y=22
5x-4y=0

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
3x+2y=22
5x-4y=0
-------------
Elimination:
6x+4y = 44
5x-4y = 0
--------------
11x = 44
x = 4
---
3*4+2y = 22
2y = 10
y = 5
Ans: (4,5)
===========================
Substitution:
3x+2y=22
5x-4y=0
---------
x = (4/5)y
3(4/5)y + 2y = 22
(12/5+ 10/5)y = 22
(22/5)y = 22
(1/5)y = 1
y = 5
---
x = (4/5)5 = 4
Ans: (4,5)
===========================
Graphing:
3x+2y=22
5x-4y=0
------------
y= (-3/2)x + 11
y = (5/4)x
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-3%2F2%29x+%2B+11%2C%285%2F4%29x%29
====================================
Cheers,
Stan H.