8x + 5 y =9 ; 3 x + 2 y = 4 by elimination method
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8x + 5 y =9 ..........eq 1
3 x + 2 y = 4.........eq 2
take eq 1 .....8x=9-5y
x=(9-5y)/8........eq 3
put eq 3 in eq 2
3(9-5y)/8+2y=4
solving (27-15y)/8 +2y =4
taking lcm ......(27-15y+16y)/8=4
(27+y)/8=4
cross multiply......27+y=32
y=32-27
y=5
put y=5 in eq 3
x=(9-5*5)/8
=(9-25)/8
=-16/8
x=-2
3 x + 2 y = 4.........eq 2
take eq 1 .....8x=9-5y
x=(9-5y)/8........eq 3
put eq 3 in eq 2
3(9-5y)/8+2y=4
solving (27-15y)/8 +2y =4
taking lcm ......(27-15y+16y)/8=4
(27+y)/8=4
cross multiply......27+y=32
y=32-27
y=5
put y=5 in eq 3
x=(9-5*5)/8
=(9-25)/8
=-16/8
x=-2
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