Question

Solve by elimination method
2x+5ydivided by xy=6
4x+5ydivided by xy=-3

Answer 1

Answer:

$\boxed{x=\frac{1}{3}}\: ; \: \boxed{y=\frac{-2}{9}}$

Step-by-step explanation:

Cross multiply.

$2x+5y=6xy\\</p><p>4x+5y=-3xy\\</p><p>Subtract.\\</p><p>2x-4x=(6-(-3))xy=9xy\\</p><p>\implies -2x=9xy\\</p><p>y=\frac{-2}{9}\\</p><p>\text{Put this value of y in one of the equations to get value of x}\\</p><p>2x+3\frac{-2}{9}=0\\</p><p>x=\frac{1}{3}$