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Question

Solve : 9x4y=8 and 13x+7y=101

A
x=17y=16
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B
x=34y=16
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C
x=14y=17
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D
x=27y=17
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Solution

The correct option is C x=14y=17
Let 1x=a and 1y=b
9x4y=8 ......(i)
9a4b=8 .....(ii)
13x+7y=101 ......(iii)
13a+7b=101 .....(iv)
Multipliying equation (ii) by 7 and (iv) by 4, we get
63a28b=56
52a+28b=404

115a=460
a=460115
a=4
Putting the value in (ii), we get
9a4b=8
9×44b=8
4b=836
4b=28
b=7
Now, resubstituting the value, we get
a=1x=4 x=14
Again, b=1y=7 y=17

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