SOLUTION: I need help with these "solve by elimination" questions PLEASE and THANK YOU 4x+5y=6 3x-5y=22 3x+4y=4 3x+y=10 -2x+y=-1 3x=9-y 3x+2y=-5 4x-3y=16

Algebra ->  Equations -> SOLUTION: I need help with these "solve by elimination" questions PLEASE and THANK YOU 4x+5y=6 3x-5y=22 3x+4y=4 3x+y=10 -2x+y=-1 3x=9-y 3x+2y=-5 4x-3y=16      Log On


   



Question 968356: I need help with these "solve by elimination" questions PLEASE and THANK YOU
4x+5y=6
3x-5y=22
3x+4y=4
3x+y=10
-2x+y=-1
3x=9-y
3x+2y=-5
4x-3y=16

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
I need help with these "solve by elimination" questions PLEASE and THANK YOU
4x+5y=6
3x-5y=22
Add to get 7x = 28 ; x = 4, then solve for "y"::
-------------------
3x+4y=4
3x+y=10
Subtract to get 3y = -6; y = -2, then solve for "x"::
------------------
-2x+y=-1
3x=9-y
Rearrange::
-2x + y = -1
3x +y = 9
Subtract to get 5x = 10 ; x = 2, then solve for "y"::
------------------
3x+2y=-5
4x-3y=16
-----
Multiply top eq by 3 ; Multiply bottom equation by 2
9x + 6y = -15
8x - 6y = 32
---
Add to get: 17x = 17 ; x = 1 , then solve for "y";;
============
Cheers,
Stan H.
-------------