3x+2y+1=0,2x-3y+8=0 solve by elimantion
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(x,y)=(12\5,-21\5) is the solution for given equations.
SoLution:
The given equations are
3x+2y+1=0
i.e 3x+2y=-1...(1)
2x+3y+8=0
i.e. 2x+3y=-8...(2)
Add equations (1) and (2)
3x+2y=-1
+
2x+3y=-8
5x+5y=-9
Divide both sides by 5
x+y=-9/5...(3)
Subtract equation (2) from equation (1)
3x+2y=-1
-
2x+3y=-8
x-y=7...(4)
Add equations (3) and (4)
x+y=-9\5
+
x-y=7
2x=24\5
Dividing both sides by 2
x=12\5
Substitute x=12\5 in equation 3
12\5+y=-9\5
y=-9\5-12\5
y=-21\5
(x,y)=(12\5,-21\5) is the solution for given equations.
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