Question

\( \sqrt{x}+y=13 \) \( x^{2}+\sqrt{y}=5 \)

Answer 1

√x + y = 13

⇒ y = 13 - √x---(1)

& x² + √y = 5

⇒ √y = 5 - x²

⇒ y = (5 - x²)²--(2)

Hence, for solution of given system of equations we have to draw y = 13 - √x & (5 - x²)² on graph and have to find their intersection points.

\(\because\) There are two intersection points.

So, there is two solution of given system of equations.