Question

Convert the following equations into simultaneous equations and solve :
please anybody send answer fast.
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Answer 1

x - 16y = 0 and x + y = 0

Solution: $x = \frac{16}{17}$ and $y = \frac{1}{17}$

Step-by-step explanation:

The first equation is given to be, $\sqrt{\frac{x}{y} } = 4$

Now, squaring both sides we get, $\frac{x}{y} = 16$

⇒ x = 16y

⇒ x - 16y = 0

Again, the second equation is given to be, $\frac{1}{x} + \frac{1}{y} = \frac{1}{xy}$.

Now, multiplying both sides with xy we get, x + y = 1

Therefore, the simultaneous equations are

x - 16y = 0 and x + y = 0.

Then, solving those two equations we get,

16y + y = 1

⇒ 17y = 1

⇒ y = $\frac{1}{17}$

So, x = 16y = $\frac{16}{17}$ (Answer)