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

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Question 185313: Solve by the Addition Method:
4x-5y=3y+4
2x+3y=2x+1

Answer by ankor@dixie-net.com(22740)   (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 =
:
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 =
x =
:
;
Check solutions in 1st original equation
4x - 5y = 3y + 4
4* - 5* = 3* + 4
- = +

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