Question
Solve the equation:
$\frac{3}{2 x}+\frac{2}{3 y}=5, \frac{5}{x}-\frac{3}{y}=1$
$\frac{3}{2 x}+\frac{2}{3 y}=5, \frac{5}{x}-\frac{3}{y}=1$
✓
Answer
$x=\frac{1}{2}, y=\frac{1}{3}$
[ Hint. Put $\frac{1}{x}=u$ and $\frac{1}{y}=v$]
[ Hint. Put $\frac{1}{x}=u$ and $\frac{1}{y}=v$]
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
In the given figure, $M$ is mid$-$point of $AB$ and $DE$, whereas $N$ is mid$-$point of $BC$ and $DF.$Show that: $EF = AC$.
→Solve the following equations for the unknown$: 3x + 8 = 35$
→Factorise : $x^2-5 x-6$
→If $\left(x+\frac{1}{x}\right)=3$, show that $\left(x^3+\frac{1}{x^3}\right)=0$.
→P is a point on a circle with centre O. If P is equidistant from the two radii OA and OB, prove that are AP = arc BP.
The sides of a right-angled triangle containing the right angle are (5x) cm and (3x - 1) cm. If its area is $60 cm^2$, find its perimeter.
→The sides of a right-angled triangle containing the right angle are $(5 x) cm$ and $(3 x-1) cm$. If its area is $60 cm^2$, find its perimeter.
→Factorise the following:$y^4 + y^2 + 1$
→Draw the graph for the linear equation given below$:y = x$
→Factorise the following by splitting the middle term:$12 + x - 6x^2$
→