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Question

I. If 3x5y=1 and xy=1, then x=2,y=1
II. 2x+3y=9,3x+4y=5x=21,y=17
III. 2xa+yb=2,xayb=4x=2a,y=2b
What is true ?

A
I
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B
II
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C
III
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D
None of these
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Solution

The correct options are
A I
B II
Let 3x5y=1 ......(1)
xy=1 ......(2)
(1) (2) ×3
2y=2
y=1
Substituting the value of y in (2)
x+1=1
x=2
I is true.
Let 2x+3y=9 ......(1)
3x+4y=5 ......(2)
(1) ×3 (2) ×2
y=17
Substituting the value of y in (1)
2x+3(17)=9
2x=42
x=21
II is true.
Let 2xa+yb=2 ......(1)
xayb=4 ......(2)
(1) (2) ×2
3yb=6
y=2b
Substituting the value of y in (2)
xa+2bb=4
x=2a
III is false.

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