Question

solve for x and y 2x + 3y = 9xy 9x + 4y = 21xy

Answer 1

$2x + 3y = 9xy.............(1) \\ 9x + 4y = 21xy ............(2)\\ (1) \times 4 - (2) \times 3 \\ 8x + 12y = 36xy \\ - (27x + 12y = 63xy) \\ - 19x = - 27xy \\ y = \frac{19}{27} \\ 2x + 3( \frac{19}{27} ) = 9x( \frac{19}{27} ) \\ 2x + \frac{19}{9} = \frac{19x}{3} \\ 2x - \frac{19x}{3} = - \frac{19}{9} \\ \frac{ - 13x}{3} = - \frac{19}{9} \\ x = - \frac{19 \times 3}{13 \times 9} \\ x = \frac{ 19}{39}$

Answer 2

Answer:

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