6x + 3y = 6xy , 2x + 4y = 5xy solve with elemination method
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Step-by-step explanation:
6x + 3y = 6xy -1eqn
2x + 4y = 5xy -2eqn
1 eqn
÷xy
6/y+3/x=6
2 eqn ÷xy
2/y+4/x=5
if p=1/x,q=1/y
6p+3q=6
2p+4q=5
1st eqn multiplied by 2 and 2 nd eqn by 6
by elimination method
12p +6q =12
12p+ 24q= 30
(-)---(-)-------(-)---
0-18q=-18
q=-18/-18
q=1
substitute q=1 in eqn 2
2p+4=6
2p=6-4
p=2/2
p=1
if p= 1/1=1,q=1/1=1
verification
2(1)+4(1)=6
2+4=6
6=6
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