4 ÷ x +5y equal to 7 ; x is not equal to 0 . And 3÷x + 4 Y equal to 5. Solve by elimination method
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sharanya39:
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Let, 1/x= 'a' & 1/y= 'b',
Thrfor, eq will be,
4a - 5b=7------(1)
3a - 4b=5------(2)
Now by sbstitutn method,
from eq (1)
a= (7+ 5b) /4-----(3)
sbstitutng this value in eq (2)
3 [ (7+5b) /4 ] - 4b=5
=> (21 + 15b) /4 - 4b=5
=> (21 + 15b - 16b) / 4=5 (by taking LCM)
=> 21-b=20
-b = -1 => b=1
Now sbstitutng b=1 in eq (3) we get,
a= (7 + 5x1) /4
=> a= 12/4 => a=3
Thrfor,
1/x= 3 => x=1/3
and, 1/y=1 => y=1
Hence, x=1/3 and y= -1
Thrfor, eq will be,
4a - 5b=7------(1)
3a - 4b=5------(2)
Now by sbstitutn method,
from eq (1)
a= (7+ 5b) /4-----(3)
sbstitutng this value in eq (2)
3 [ (7+5b) /4 ] - 4b=5
=> (21 + 15b) /4 - 4b=5
=> (21 + 15b - 16b) / 4=5 (by taking LCM)
=> 21-b=20
-b = -1 => b=1
Now sbstitutng b=1 in eq (3) we get,
a= (7 + 5x1) /4
=> a= 12/4 => a=3
Thrfor,
1/x= 3 => x=1/3
and, 1/y=1 => y=1
Hence, x=1/3 and y= -1
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