SOLUTION: Solve by the Addition Method: 4x-5y=3y+4 2x+3y=2x+1

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: Solve by the Addition Method: 4x-5y=3y+4 2x+3y=2x+1      Log On


   

Question 185313: Solve by the Addition Method:
4x-5y=3y+4
2x+3y=2x+1
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4x - 5y = 3y + 4
2x + 3y = 2x + 1
;
Put both equation in the ax + by = c form
4x - 5y - 3y + 4
4x - 8y = 4
and
2x - 2x + 3y = 1
3y = 1
y = 1%2F3
:
Substitution would work great here, but you want the addition method
multiply (4x - 8y = 4) by 3; and 3y=1 by 8, results:
12x - 24y = 12
0x + 24y = 8
----------------addition eliminates y, find x
12x = 20
x = 20%2F12
x = 5%2F3
:
;
Check solutions in 1st original equation
4x - 5y = 3y + 4
4*5%2F3 - 5*1%2F3 = 3*1%2F3 + 4
20%2F3 - 5%2F3 = 3%2F3 + 12%2F3