Solution
- The solution steps are given below:
[tex]\begin{gathered} y=5 \\ \sqrt{x}\times\frac{3}{2}x=y \\ \\ \text{ Combine both equations,} \\ \sqrt{x}\times\frac{3}{2}x=5 \\ \\ \text{ Multiply both sides by }\frac{2}{3} \\ \\ x\sqrt{x}=5\times\frac{2}{3} \\ \\ x\sqrt{x}=\frac{10}{3} \\ \\ \text{ The value of }x\text{ can be rewritten as }x=\sqrt{x^2} \\ \\ \sqrt{x^2}\sqrt{x}=\frac{10}{3} \\ \\ \sqrt{x^2\times x}=\sqrt{x^3}=\frac{10}{3} \\ \\ Square\text{ both sides} \\ x^3=(\frac{10}{3})^2 \\ \\ x^3=\frac{100}{9} \\ \\ \text{ Take the cube root of both sides} \\ x=\sqrt[3]{\frac{100}{9}} \\ \\ x=2.231443...\approx2.23 \end{gathered}[/tex]
Final Answer
The point is
[tex](2.23,5)[/tex]
