Question

If $\frac{2}{x}+\frac{3}{y}=\frac{9}{xy}$ and $\frac{4}{x}+\frac{9}{y}=\frac{21}{xy}$, where $x\ne 0,y\ne 0$, the values of x and y are, respectively.

• A. 0 and 1
• B. 1 and 2
• C. 2 and 3
• D. 1 and 3
• E. None of the above

Answer 1

The correct option is D 1 and 3

Multiplying each equation throughout by xy, we get
$3x+2y=9$ and $9x+4y=21$
On solving these equations, we get
x = 1, y = 3