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Question

Find the solution of x and y using cross multiplication method:

6x5y=9 and xy=2

A
x=1,y=3
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B
x=1,y=3
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C
x=1,y=3
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D
x=1,y=3
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Solution

The correct option is C x=1,y=3
6x5y=9---(1)
xy=2---(2)
Using formula for cross multiplication method:
x(b1c2b2c1)=y(c1a2a1c2)=1(a1b2a2b1)
So, from equation (1) and (2) we can write the value of a,b and c.
x(5)×2(1)×9=y9×16×2=16×(1)1×(5)
x10+9=y912=16+5
x1=y3=11
x1=11
x=1
x=1
y3=11
y=3
Therefore, x=1,y=3

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