Question

93x + 15y = 123 , 15y + 93y = 201 then xy=?

Answer 1

Given Equations : 93x+15y=123........(1)

15x+93y=201.........(2)

Adding equations (1) and (2)

93x+15y+15x+93y=123+201

108x+108y=324

Dividing both sides by 108

x+y=3........(3)

Subtracting equation (1) from (2)

15x+93y-(93x+15y)=201-123

15x+ 93y- 93x- 15y = 78

78y - 78x=78

Dividing both sides by 78

y-x=1........ (4)

Adding (3) and (4)

x+y+y-x =3+1

2y=4

y=4/2=2

Substituting y=2 in (3)

x+2=3

x=3-2=1

So, x=1 and y=2

and xy= 2×1 =2

xy=2

Hope it helps

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