Math, asked by virat116, 1 year ago

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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Answered by SangeetaBisht

see maybe it helps you...

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sharanya39: read the answer step by step

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virat116: it is easy to u understand

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Answered by sharanya39

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

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