Question

SOLVE.
2y - 3x = 15 xy ; 8y + 5x = 77xy

Answer 1

2y - 3x = 15xy

Multiplying the equation with 4,

8y - 12x = 60xy - (i)

8y + 5x = 77xy -  (ii)

Subtracting (i) from (ii),

-7x = 17xy

Eliminating x from RHS and LHS,

-7 = 17y

or, y = -7/17

Repeating the same process for getting the value of x:

2y - 3x = 15xy

Multiplying the equation with 5,

10y - 15x = 75xy - (iii)

8y + 5x = 77xy

Multiplying the equation by 3,

24y + 15x = 231xy - (iv)

Adding (iii) & (iv),

34y = 306xy

Eliminating y from both side,

34 = 306x

or, x = 34/306

Answer 2

Answer:

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